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Journal articles on the topic 'Beltramini'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

ORMISTON, ROSALIND. "PALLADIO BY GUIDO BELTRAMINI AND HOWARD BURNS (EDS)." Art Book 16, no. 3 (2009): 22. http://dx.doi.org/10.1111/j.1467-8357.2009.01042.x.

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2

Isocrono, Deborah, and Sonia Ravera. "Typification of the name Arthopyrenia parolinii Beltr. (Ascomycota, Dothideomycetes, Pleosporales, Arthopyreniaceae)." MycoKeys 104 (April 16, 2024): 1–8. http://dx.doi.org/10.3897/mycokeys.104.109420.

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Arthopyrenia parolinii Beltr. is one of the few species of the lichen genus Arthopyrenia A. Massal. described by Italian authors of the XIX century, lacking type formal association. In this regard, the name Arthopyrenia parolinii is hereby lectotypified using a specimen stored in the lichen herbarium of A.B. Massalongo at VER. Additional original material was found only at M, while another specimen at MSNVE, labelled as Spermatodium parolinii, although referable to this species, should not be considered as original material. Arthopyrenia parolinii is among the least well-known species in the g

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3

Isocrono, Deborah, and Sonia Ravera. "Typification of the name Arthopyrenia parolinii Beltr. (Ascomycota, Dothideomycetes, Pleosporales, Arthopyreniaceae)." MycoKeys 104 (April 16, 2024): 1–8. https://doi.org/10.3897/mycokeys.104.109420.

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<i>Arthopyrenia parolinii</i> Beltr. is one of the few species of the lichen genus <i>Arthopyrenia</i> A. Massal. described by Italian authors of the XIX century, lacking type formal association. In this regard, the name <i>Arthopyrenia parolinii</i> is hereby lectotypified using a specimen stored in the lichen herbarium of A.B. Massalongo at VER. Additional original material was found only at M, while another specimen at MSNVE, labelled as <i>Spermatodium parolinii</i>, although referable to this species, should not be considered as original material. <i>Arthopyrenia parolinii</i> is among th

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4

Robinson, Bob. "The Unknown Christ of Christianity. Scripture and Theology in Panikkar’s Early Writings, written by Enrico Beltramini." Exchange 51, no. 4 (2022): 382–83. http://dx.doi.org/10.1163/1572543x-bja10011.

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5

Bakker, Frederik L. "Passage to India. Abhishiktānanda and the Retrieval of the Supernatural in Roman Catholicism, written by Enrico Beltramini." Exchange 51, no. 4 (2022): 387–88. http://dx.doi.org/10.1163/1572543x-bja10009.

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6

Brooke, Irene. "Aldo Manuzio: il rinascimento di Venezia (Venice, Gallerie dell'Accademia, 19 March-31 July 2016). Catalogue edited by GuidoBeltramini and DavideGasparotto, with essays by Cesare de Michelis, Guido Beltramini, Matteo Ceriana, Davide Gasparotto, Laura Nuvo." Renaissance Studies 32, no. 2 (2017): 322–31. http://dx.doi.org/10.1111/rest.12301.

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7

REB, Equipe. "Equipe de trabalho." Revista de Ensino de Bioquímica 21, no. 1 (2023): iv—v. http://dx.doi.org/10.16923/reb.v21i1.1075.

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1. Editorial TeamChief-EditorVera Maria Treis Trindade, Departamento de Bioquímica, Instituto de Ciências Básicas da Saúde, Universidade Federal do Rio Grande do Sul (UFRGS), Brazil Co-editorsGabriel Gerber Hornink, Depto. Bioquímica, Instituto de Ciências Biomédicas, Universidade - Federal de Alfenas (Unifal-MG), BrazilAndré Marques do Santos, Universidade Federal Rural do Rio de Janeiro (UFRRJ), BrazilJuciano Gasparatto, Depto. Bioquímica, Instituto de Ciências Biomédicas, Universidade - Federal de Alfenas (Unifal-MG), Brazil Senior-editorBayardo Bapstista Torres, Instituto de Química (USP),

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8

Emmanuel, Atanyi Yusuf, and Abam Ayeni Omini. "A Mathematical Model for the Eradication of Anopheles Mosquito and Elimination of Malaria." International Journal of Healthcare and Medical Sciences, no. 61 (January 20, 2020): 1–14. http://dx.doi.org/10.32861/ijhms.61.1.14.

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A mathematical model to eliminate malaria by breaking the life cycle of anopheles mosquito using copepods at larva stage and tadpoles at pupa stage was derived aimed at eradicating anopheles pupa mosquito by introduction of natural enemies “copepods and tadpoles” (an organism that eats up mosquito at larva and pupa stage respectively). The model equations were derived using the model parameters and variables. The stability analysis of the free equilibrium states was analyzed using equilibrium points of Beltrami and Diekmann’s conditions for stability analysis of steady state. We observed that

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9

Garg, Kamaldeep. "Beltrami’s Conjecture." International Journal on Recent Trends in Life Science & Mathematics 9, no. 2 (2022): 33–40. http://dx.doi.org/10.17762/ijlsm.v9i2.133.

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Let K be a smoothly Lagrange factor. We wish to extend the results of [6] to systems. We show that there exists a nonnegative, canonically local, contra-arithmetic and characteristic algebraically nonnegative, negative factor. It would be interesting to apply the techniques of [6] to geometric, Green, prime arrows. It is well known that U ? 2

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10

REB, Equipe. "Work Team 2021( Jan-Jun)." Revista de Ensino de Bioquímica 19, no. 1 (2021): ii—iii. http://dx.doi.org/10.16923/reb.v19i1.1051.

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Work Team 2021(Jan-Jun)1. Editorial TeamChief-EditorAndré Amaral Gonçalves Bianco, Universidade Federal de São Paulo (Unifesp), Brazil Co-editorsGabriel Gerber Hornink, Depto. Bioquímica, Instituto de Ciências Biomédicas, Universidade - Federal de Alfenas (Unifal-MG), BrazilVera Maria Treis Trindade, Departamento de Bioquímica, Instituto de Ciências Básicas da Saúde, Universidade Federal do Rio Grande do Sul (UFRGS), BrazilEduardo Galembeck, Depto. Bioquímica, Instituto de Biologia, Universidade Estadual de Campinas (Unicamp), Brazil Senior-editorBayardo Bapstista Torres, Instituto de Química

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11

Yao, Guowu. "Non-decreasable extremal Beltrami differentials of non-landslide type." International Journal of Mathematics 29, no. 10 (2018): 1850066. http://dx.doi.org/10.1142/s0129167x18500660.

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In this paper, we deform a uniquely-extremal Beltrami differential into different non-decreasable Beltrami differentials, and then construct non-unique extremal Beltrami differentials such that they are both non-landslide and non-decreasable.

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12

González, R. "DYNAMIC CLASSIFICATION OF BELTRAMI FLOWS." Anales AFA 33, Fluidos (2022): 1–5. http://dx.doi.org/10.31527/analesafa.2021.33.fluidos.1.

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We study four configurations of Beltrami flows (BFs) defined as ∇ × v = ±γ ±v, where γ > 0 is an eigenvalue and which have a progressive rotating wave dynamics (PRWs) that satisfies the dynamic property (DP) [1], which allows us to classify them on the basis of the eigenvalues that result in each configuration. The first configuration corresponds to an infinite volume domain without contours. The classifier eigenvalue is γ ±ph = 2/ vph± where k is the modulus of the wave vector that forms an angle θ with the rotation axis. The result is a finite-amplitude, transverse, dispersive, circularly

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13

González, R. "DYNAMIC CLASSIFICATION OF BELTRAMI FLOWS." Anales AFA 33, Special (2022): 1–5. https://doi.org/10.31527/analesafa.2022.fluidos.1.

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We study four configurations of Beltrami flows (BFs) defined as∇×v=±γ±v, whereγ>0 is an eigenvalue and which have a progressive rotating wave dynamics (PRWs) that satisfies the dynamic property (DP) [1], which allows us to classify them on the basis of the eigenvalues that result in each configuration. The first configuration corresponds to an infinite volume domain without contours. The classifier eigenvalue isγ±ph=2/vph±wherekis the modulus of the wavevector that forms an angleθwith the rotation axis. The result is a finite-amplitude, transverse, dispersive, circularly polarised, planar P

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14

Jääskeläinen, Jarmo. "On reduced Beltrami equations and linear families of quasiregular mappings." crll 2013, no. 682 (2012): 49–64. http://dx.doi.org/10.1515/crelle-2012-0041.

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Abstract. This paper studies linear classes of planar quasiregular mappings. We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G. Martin (2009) on reduced Beltrami equations. Moreover, we use it to prove a Wronsky-type theorem for general linear Beltrami systems. This is a key to show that the associated Beltrami equation of a linear quasiregular family is unique.

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15

Tătaru, Liviu, and Ion V. Vancea. "BRST Cohomology of the Superstring in Super-Beltrami Parametrization." Modern Physics Letters A 12, no. 33 (1997): 2551–65. http://dx.doi.org/10.1142/s0217732397002685.

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A method for calculating the BRST cohomology, recently developed for 2-D gravity theory and the bosonic string in Beltrami parametrization, is generalized to the superstring theories quantized in super-Beltrami parametrization.

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16

XU, GUOLIANG. "DISCRETE LAPLACE–BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS." International Journal of Computational Geometry & Applications 16, no. 01 (2006): 75–93. http://dx.doi.org/10.1142/s0218195906001938.

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In this paper we first modify a widely used discrete Laplace-Beltrami operator proposed by Meyer et al over triangular surfaces, and then we show that the modified discrete operator has some convergence properties over the triangulated spheres. A sequence of spherical triangulations which is optimal in certain sense and leads to smaller truncation error of the discrete Laplace-Beltrami operator is constructed. Optimal hierarchical spherical triangulations are also given. Truncation error bounds of the discrete Laplace-Beltrami operator over the constructed triangulations are provided.

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17

Gerber Hornink, Gabriel, Vera Treis Trindade, Eduardo Galembeck, and Bayardo Baptista Torres. "Editorial - Número especial." Revista de Ensino de Bioquímica 13 (August 24, 2015): 1. http://dx.doi.org/10.16923/reb.v13i2.612.

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Editorial 2015 - EspecialA área de ensino de Bioquímica integra a reunião Anual da Sociedade Brasileira de Bioquímica e Biologia Molecular (SBBq) desde 1993. Ao longo dos anos, a área foi se estabelecendo e ganhando força e corpo.A materialização desse trabalho ocorreu com o lançamento, pela SBBq, da Revista de Ensino de Bioquímica e Biologia Molecular (RBEBBM), em 2001. Em 2012 a revista passou por um processo de reestruturação, ampliando seu escopo e equipe de trabalho, passando a se chamar Revista de Ensino de Bioquímica - REB (Journal of Biochemistry Education).Visando ampliar a divulgação

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18

REB, Equipe. "Equipe de trabalho - V. 17, N.1, 2019." Revista de Ensino de Bioquímica 17, no. 1 (2019): ii—iii. http://dx.doi.org/10.16923/reb.v17i1.881.

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Work Team 2019(Jan-Jul)1. Editorial TeamChief-EditorGabriel Gerber Hornink, Depto. Bioquímica, Instituto de Ciências Biomédicas, Universidade - Federal de Alfenas (Unifal-MG), Brazil Senior-editorBayardo Bapstista Torres, Instituto de Química (USP), Brazil Co-editorsAndré Amaral Gonçalves Bianco, Universidade Federal de São Paulo (Unifesp), BrazilEduardo Galembeck, Depto. Bioquímica, Instituto de Biologia, Universidade de Campinas (Unicamp), BrazilVera Maria Treis Trindade, Departamento de Bioquímica, Instituto de Ciências Básicas da Saúde, Universidade Federal do Rio Grande do Sul (UFRGS), Br

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19

Gutlyanskii, Vladimir, Vladimir Ryazanov, Evgeny Sevost’yanov, and Eduard Yakubov. "BMO and Asymptotic Homogeneity." Axioms 11, no. 4 (2022): 171. http://dx.doi.org/10.3390/axioms11040171.

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First, we prove that the BMO condition by John–Nirenberg leads in the natural way to the asymptotic homogeneity at the origin of regular homeomorphic solutions of the degenerate Beltrami equations. Then, on this basis we establish a series of criteria for the existence of regular homeomorphic solutions of the degenerate Beltrami equations in the whole complex plane with asymptotic homogeneity at infinity. These results can be applied to the fluid mechanics in strongly anisotropic and inhomogeneous media because the Beltrami equation is a complex form of the main equation of hydromechanics.

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20

IQBAL, M., and P. K. SHUKLA. "Beltrami fields in a hot electron–positron–ion plasma." Journal of Plasma Physics 78, no. 3 (2012): 207–10. http://dx.doi.org/10.1017/s0022377812000050.

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AbstractA possibility of relaxation of relativistically hot electron and positron (e − p) plasma with a small fraction of hot or cold ions has been investigated analytically. It is observed that a strong interaction of plasma flow and field leads to a non-force-free relaxed magnetic field configuration governed by the triple curl Beltrami (TCB) equation. The triple curl Beltrami (TCB) field composed of three different Beltrami fields gives rise to three multiscale relaxed structures. The results may have the strong relevance to some astrophysical and laboratory plasmas.

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21

Ramsook, Andrew H., Carli M. Peters, Michael G. Leahy, et al. "Reply to Beltrami." Experimental Physiology 106, no. 3 (2021): 791–92. http://dx.doi.org/10.1113/ep089394.

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22

Ly, Ibrahim, and Nikolai Tarkhanov. "Generalized Beltrami equations." Complex Variables and Elliptic Equations 60, no. 1 (2014): 24–37. http://dx.doi.org/10.1080/17476933.2013.876759.

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23

Golberg, Anatoly, and Ruslan Salimov. "Nonlinear Beltrami equation." Complex Variables and Elliptic Equations 65, no. 1 (2019): 6–21. http://dx.doi.org/10.1080/17476933.2019.1631292.

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24

Hodgkin, L. "Super-Beltrami differentials." Classical and Quantum Gravity 6, no. 11 (1989): 1725–38. http://dx.doi.org/10.1088/0264-9381/6/11/024.

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25

Amari, Tahar, Cédric Boulbe, and Tahar Zamène Boulmezaoud. "Computing Beltrami Fields." SIAM Journal on Scientific Computing 31, no. 5 (2009): 3217–54. http://dx.doi.org/10.1137/070700942.

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26

Iwaniec, Tadeusz, and Gaven Martin. "The Beltrami equation." Memoirs of the American Mathematical Society 191, no. 893 (2008): 0. http://dx.doi.org/10.1090/memo/0893.

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27

Takama, Michiaki. "Super Beltrami differentials." Communications in Mathematical Physics 143, no. 1 (1991): 149–73. http://dx.doi.org/10.1007/bf02100289.

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28

Feng, Zhi Lin, Xiao Ming Liu, Yan Ming Ye, and Jin Yin Chen. "Beltrami Denoising Algorithm for Ink-Jet Printing Material Image." Key Engineering Materials 467-469 (February 2011): 1610–15. http://dx.doi.org/10.4028/www.scientific.net/kem.467-469.1610.

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Image denoising for ink-jet printing material is an active research field in ink-jet printing material processing aiming at the removal of noise. In this paper, we present a novel denoising algorithm within the framework of Beltrami manifold and shape prior technology. Beltrami manifold is applied to enhance image features while preserving natural fine structures. The shape prior term for the deformable framework through a non-linear energy term is designed to attract a shape towards the Beltrami manifold at given directions. The visual and quantitative evaluation of experimental results has d

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29

JINHUA, FAN, and CHEN JIXIU. "ON INFINITESIMAL TEICHMÜLLER SPACE." Bulletin of the Australian Mathematical Society 78, no. 2 (2008): 293–300. http://dx.doi.org/10.1017/s0004972708000749.

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AbstractMuch research has been done on the geometry of Teichmüller space and Hamilton sequences of extremal Beltrami differentials. This paper discusses some problems concerning infinitesimal Teichmüller geodesic discs and Hamilton sequences of extremal Beltrami differentials in the tangent space of an infinite-dimensional Teichmüller space.

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30

Wang, Na, and Zhibing Zhang. "An improved Liouville type theorem for Beltrami flows." Nonlinearity 35, no. 5 (2022): 2622–32. http://dx.doi.org/10.1088/1361-6544/ac66b6.

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Abstract In this note, we improved the Liouville type theorem for the Beltrami flows. Two different methods are used to prove it, one is the monotonicity method, and another is proof by contradiction. The conditions that we proposed on Beltrami flows are significantly weaker than previously known conditions.

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31

Gutlyanskii, Vladimir, Vladimir Ryazanov, Evgeny Sevost'yanov, and Eduard Yakubov. "On the degenerate Beltrami equation and hydrodynamic normalization." Ukrainian Mathematical Bulletin 19, no. 1 (2022): 49–74. http://dx.doi.org/10.37069/1810-3200-2022-19-1-4.

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The linear Beltrami equation on the Riemann sphere is studied under the assumption that its measurable complex-valued coefficient $\mu(z)$ has a compact support in $\mathbb{C}$ and $\Vert\mu\Vert_{\infty}=1.$ Sufficient conditions for the existence of regular homeomorphic $W_{\mathrm{loc}}^{1,1}$ solutions to the Beltrami equation with hydrodynamic normalization at infinity are given, in particular, provided that either the dilatation $K_{\mu}$ has the {bounded-mean-oscillation} majorant or the so-called tangent dilatations $K_{\mu}^{T}$ satisfy the integral divergence conditions of the Lehto

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32

Rezini, D., A. Khaldi, and Y. Rahmani. "On the Boundary Value Kirsch's Problem." Journal of Mechanics 32, no. 1 (2015): 1–10. http://dx.doi.org/10.1017/jmech.2015.93.

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AbstractAnalytical closed-form solution to the stress distribution associated with a hole in finite plates subjected to tension has not been obtained yet. Wherefore, a method developed in this paper is based on a Beltrami-Michell methodology analyzing the Kirsch's problem under finite dimensions conditions of both plane stress and plane strain. This aimed ability is achieved by combining the Beltrami-Michell plane equations, isochromatic information on the boundaries only; and the finite difference method into an effectual hybrid method for analyzing rectangular plates of finite width with cir

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33

Yao, Guowu. "Existence of extremal Beltrami coefficients with nonconstant modulus." Nagoya Mathematical Journal 199 (September 2010): 1–14. http://dx.doi.org/10.1017/s0027763000022194.

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AbstractSuppose that [μ]T(Δ)is a point of the universal Teichmüller spaceT(Δ). In 1998, Božin, Lakic, Marković, and Mateljević showed that there existsμsuch thatμis uniquely extremal in [μ]T(Δ)and has a nonconstant modulus. It is a natural problem whether there is always an extremal Beltrami coefficient of constant modulus in [μ]T(Δ)if [μ]T(Δ)admits infinitely many extremal Beltrami coefficients; the purpose of this paper is to show that the answer is negative. An infinitesimal version is also obtained. Extremal sets of extremal Beltrami coefficients are considered, and an open problem is prop

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34

Cruz, Victor, Joan Mateu, and Joan Orobitg. "Beltrami Equation with Coefficient in Sobolev and Besov Spaces." Canadian Journal of Mathematics 65, no. 6 (2013): 1217–35. http://dx.doi.org/10.4153/cjm-2013-001-7.

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AbstractOur goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂̄ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ).

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35

Gerner, Wadim. "Zero Set Structure of Real Analytic Beltrami Fields." Journal of Geometric Analysis 31, no. 10 (2021): 9928–50. http://dx.doi.org/10.1007/s12220-021-00633-0.

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AbstractIn this paper, we prove a classification theorem for the zero sets of real analytic Beltrami fields. Namely, we show that the zero set of a real analytic Beltrami field on a real analytic, connected 3-manifold without boundary is either empty after removing its isolated points or can be written as a countable, locally finite union of differentiably embedded, connected 1-dimensional submanifolds with (possibly empty) boundary and tame knots. Further, we consider the question of how complicated these tame knots can possibly be. To this end, we prove that on the standard (open) solid toro

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36

Yao, Guowu. "Existence of extremal Beltrami coefficients with nonconstant modulus." Nagoya Mathematical Journal 199 (September 2010): 1–14. http://dx.doi.org/10.1215/00277630-2010-001.

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AbstractSuppose that [μ]T(Δ) is a point of the universal Teichmüller space T(Δ). In 1998, Božin, Lakic, Marković, and Mateljević showed that there exists μ such that μ is uniquely extremal in [μ]T(Δ) and has a nonconstant modulus. It is a natural problem whether there is always an extremal Beltrami coefficient of constant modulus in [μ]T(Δ) if [μ]T(Δ) admits infinitely many extremal Beltrami coefficients; the purpose of this paper is to show that the answer is negative. An infinitesimal version is also obtained. Extremal sets of extremal Beltrami coefficients are considered, and an open proble

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37

Sato, N. "Beltrami operators and their application to constrained diffusion in Beltrami fields." Journal of Physics A: Mathematical and Theoretical 52, no. 23 (2019): 235203. http://dx.doi.org/10.1088/1751-8121/ab1cdc.

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38

Guo, Han‐Ying, Jian‐Min Shen, Shi‐Kun Wang, and Kai‐Wen Xu. "Beltrami algebra and symmetry of the Beltrami equation on Riemann surfaces." Journal of Mathematical Physics 31, no. 11 (1990): 2543–47. http://dx.doi.org/10.1063/1.528999.

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39

Lakhtakia, Akhlesh. "Time-dependent beltrami fields in material continua: The Beltrami-Maxwell postulates." International Journal of Infrared and Millimeter Waves 15, no. 2 (1994): 369–94. http://dx.doi.org/10.1007/bf02096247.

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40

Arsenović, Miloš, and Miodrag Mateljević. "On Ahlfors-Beurling Operator." Ukrainian Mathematical Bulletin 18, no. 3 (2021): 292–302. http://dx.doi.org/10.37069/1810-3200-2021-18-3-1.

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We investigate regularity properties of solutions of Beltrami equation expressed in terms of moduli of continuity. In particular, we prove that a class of Calderon-Zygmund operators, including Ahlfors-Beurling operator, preserves certain type of modulus of continuity of compactly supported functions. We also prove a purely topological result which easily gives injectivity of normal solutions of Beltrami equation.

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41

Bogoyavlenskij, Oleg. "Exact force-free plasma equilibria with axial and with translational symmetries." Zeitschrift für Naturforschung A 75, no. 8 (2020): 705–12. http://dx.doi.org/10.1515/zna-2020-0103.

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AbstractExact force-free plasma equilibria satisfying the nonlinear Beltrami equation are derived. The construction is based on a nonlinear transformation that allows to get from any solution to the linear Beltrami equation a one-parametric family of exact solutions to the nonlinear one. Exact force-free plasma equilibria connected with the Sine-Gordon equation are presented.

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42

Ryazanov, Vladimir, and Ruslan Salimov. "On Hölder continuity of solutions of the Beltrami equations on the boundary." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 32 (December 28, 2018): 104–14. http://dx.doi.org/10.37069/1683-4720-2018-32-11.

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In the present paper, it is found conditions on the complex coefficient of the Beltrami equations with the degeneration of the uniform ellipticity in the unit disk under which their generalized homeomorphic solutions are continuous by Hölder on the boundary. These results can be applied to the investigations of various boundary value problems for the Beltrami equations. In a series of recent papers, under the study of the boundary value problems of Dirichlet, Hilbert, Neumann, Poincare and Riemann with arbitrary measurable boundary data for the Beltrami equations as well as for the generalizat

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43

Santiago, Bruna Oliveira. "BELTRAMIM, Fabiana. Sujeitos iluminados: a reconstituição das experiências vividas no estúdio de Christiano Jr. São Paulo: Alameda, 2013." Domínios da Imagem 11, no. 20 (2017): 334. http://dx.doi.org/10.5433/2237-9126.2017v11n20p334.

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44

Coghetto, Roland. "Klein-Beltrami model. Part III." Formalized Mathematics 28, no. 1 (2020): 1–7. http://dx.doi.org/10.2478/forma-2020-0001.

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SummaryTimothy Makarios (with Isabelle/HOL1) and John Harrison (with HOL-Light2) shown that “the Klein-Beltrami model of the hyperbolic plane satisfy all of Tarski’s axioms except his Euclidean axiom” [2],[3],[4],[5].With the Mizar system [1] we use some ideas taken from Tim Makarios’s MSc thesis [10] to formalize some definitions (like the absolute) and lemmas necessary for the verification of the independence of the parallel postulate. In this article we prove that our constructed model (we prefer “Beltrami-Klein” name over “Klein-Beltrami”, which can be seen in the naming convention for Miz

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45

Nishiyama, Takahiro. "Crystallography of three-dimensional fluid flows with chirality in hexagonal cases." Acta Crystallographica Section A Foundations and Advances 75, no. 6 (2019): 798–813. http://dx.doi.org/10.1107/s205327331901146x.

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Magnetic groups are applied to three-dimensional fluid flows with chirality, which are called Beltrami flows (or force-free fields in plasma physics). First, six Beltrami flows are derived so that their symmetries and antisymmetries are described by six different hexagonal magnetic groups. The general Wyckoff positions are used to derive the flows. Special Wyckoff positions are shown to be useful for finding the zero points of the flows. Tube-like surfaces called invariant tori are observed to interlace and form various crystal-like structures when streamlines winding around the surfaces are n

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46

Petkov, Ihor, and Vladimir Ryazanov. "On Dirichlet problem for Beltrami equations in finitely connected domains." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 34 (March 24, 2021): 85–99. http://dx.doi.org/10.37069/1683-4720-2020-34-9.

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Boundary value problems for the Beltrami equations are due to the famous Riemann dissertation (1851) in the simplest case of analytic functions and to the known works of Hilbert (1904, 1924) and Poincare (1910) for the corresponding Cauchy--Riemann system. Of course, the Dirichlet problem was well studied for uniformly elliptic systems, see, e.g., \cite{Boj} and \cite{Vekua}. Moreover, the corresponding results on the Dirichlet problem for degenerate Beltrami equations in the unit disk can be found in the monograph \cite{GRSY}. In our article \cite{KPR1}, see also \cite{KPR3} and \cite{KPR5},

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Vogler, Roberto E., Ariel A. Beltramino, Ellen E. Strong, Juana G. Peso, and Alejandra Rumi. "A phylogeographical perspective on the ex situ conservation of Aylacostoma (Thiaridae, Gastropoda) from the High Paraná River (Argentina-Paraguay)." Zoological Journal of the Linnean Society 174, no. 3 (2015): 487–99. https://doi.org/10.1111/zoj.12250.

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Vogler, Roberto E., Beltramino, Ariel A., Strong, Ellen E., Peso, Juana G., Rumi, Alejandra (2015): A phylogeographical perspective on the ex situ conservation of Aylacostoma (Thiaridae, Gastropoda) from the High Paraná River (Argentina-Paraguay). Zoological Journal of the Linnean Society 174 (3): 487-499, DOI: 10.1111/zoj.12250, URL: http://dx.doi.org/10.1111/zoj.12250

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Radhi, Ahmed Khalaf, and Gregory M. Lyan. "Compactness of the Family of A(z)-Analytic Functions." Al-Mustansiriyah Journal of Science 34, no. 3 (2023): 102–7. http://dx.doi.org/10.23851/mjs.v34i3.1334.

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In recent years, the Beltrami equation has garnered the attention of numerous researchers for the study of its analytical properties. Therefore, in this paper, we investigate certain properties of an analogue of the Cauchy integral for A(z)-analytic functions, utilizing the analytical properties of the Beltrami equation. Additionally, we obtain the compactness conditions for a family of functions within an A(z)-lemniscate.

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Katz, D. B. "Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem." Issues of Analysis 25 (September 2018): 40–49. http://dx.doi.org/10.15393/j3.art.2018.5431.

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Güler, Erhan, Hasan Hacısalihoğlu, and Young Kim. "The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space." Symmetry 10, no. 9 (2018): 398. http://dx.doi.org/10.3390/sym10090398.

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We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results. Then, we introduce the third Laplace–Beltrami operator. Moreover, we calculate the third Laplace–Beltrami operator of the rotational hypersurface in E 4 . We also draw some figures of the rotational hypersurface.

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