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Journal articles on the topic 'Pseudo-sphere'

Author: Grafiati

Published: 4 September 2021

Last updated: 29 July 2025

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1

Taek Cho, Jong, and Sun Hyang Chun. "Pseudo-Einstein unit tangent sphere bundles." Hiroshima Mathematical Journal 48, no. 3 (2018): 413–27. http://dx.doi.org/10.32917/hmj/1544238035.

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2

Ozsváth, István, and Alan Sauter. "Embedding the three-dimensional pseudo-sphere." General Relativity and Gravitation 40, no. 9 (2008): 1981–85. http://dx.doi.org/10.1007/s10714-008-0620-x.

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3

Cho, Jong Taek, and Sun Hyang Chun. "PSEUDO-SYMMETRY ON UNIT TANGENT SPHERE BUNDLES." Honam Mathematical Journal 38, no. 2 (2016): 375–84. http://dx.doi.org/10.5831/hmj.2016.38.2.375.

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4

Mori, Hiroshi. "Rotational surfaces in a pseudo-Riemannian $3$-sphere." Tohoku Mathematical Journal 38, no. 1 (1986): 29–36. http://dx.doi.org/10.2748/tmj/1178228534.

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5

Bellucci, Stefano, and Armen Nersessian. "Phases in noncommutative quantum mechanics on (pseudo)sphere." Physics Letters B 542, no. 3-4 (2002): 295–300. http://dx.doi.org/10.1016/s0370-2693(02)02379-1.

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6

Kashani, S. M. B. "On Some Compact Spacelike Submanifolds of Pseudo-sphere." Geometriae Dedicata 108, no. 1 (2004): 125–30. http://dx.doi.org/10.1007/s10711-004-0257-1.

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7

Tikekar, Ramesh, and V. O. Thomas. "Relativistic fluid sphere on pseudo-spheroidal space-time." Pramana 50, no. 2 (1998): 95–103. http://dx.doi.org/10.1007/bf02847521.

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8

Birembaux, Olivier. "Pseudo-Isotropic Centro-Affine Lorentzian Surfaces." Mathematics 8, no. 8 (2020): 1284. http://dx.doi.org/10.3390/math8081284.

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In this paper, we study centro-affine Lorentzian surfaces M2 in ℝ3 which have pseudo-isotropic or lightlike pseudo-isotropic difference tensor. We first show that M2 is pseudo-isotropic if and only if the Tchebychev form T=0. In that case, M2 is a an equi-affine sphere. Next, we will get a complete classification of centro-affine Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.

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9

Bektaş, Burcu, Elif Özkara Canfes, and Uğur Dursun. "Classification of surfaces in a pseudo-sphere with 2-type pseudo-spherical Gauss map." Mathematische Nachrichten 290, no. 16 (2017): 2512–23. http://dx.doi.org/10.1002/mana.201600498.

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10

Bektaş, Burcu, Joeri Van der Veken, and Luc Vrancken. "Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map." Annals of Global Analysis and Geometry 52, no. 1 (2017): 45–55. http://dx.doi.org/10.1007/s10455-017-9548-2.

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11

Smallenburg, Frank. "Comment on ‘Pseudo hard-sphere viscosities from equilibrium molecular dynamics’." Journal of Physics: Condensed Matter 36, no. 22 (2024): 228001. http://dx.doi.org/10.1088/1361-648x/ad1f8b.

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Abstract In a recent article, Nicasio-Collazo et al (2023 J. Phys.: Condens. Matter 35 425401) explore the viscosity of the pseudo-hard-sphere (PHS) model. In this comment, we highlight some discrepancies with expected behavior, and compare their results to new simulations of the same model as well as to true hard spheres. In contrast to the results of Nicasio-Collazo et al, our results follow the relation between shear, bulk, and longitudinal viscosity expected for isotropic fluids. Moreover, we observe clear differences in behavior between PHS and true hard sphere, and encourage future hard-

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12

VÎLCU, GABRIEL EDUARD, and RODICA CRISTINA VOICU. "CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS." International Journal of Geometric Methods in Modern Physics 09, no. 03 (2012): 1250024. http://dx.doi.org/10.1142/s0219887812500247.

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In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic Kähler manifold and prove the existence of both positive and negative mixed 3-Sasakian structures in a principal SO (2, 1)-bundle over a paraquaternionic Kähler manifold.

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13

Li, Yanlin, Yushu Zhu, and Qing-You Sun. "Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space." International Journal of Geometric Methods in Modern Physics 18, no. 01 (2020): 2150008. http://dx.doi.org/10.1142/s0219887821500080.

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For the spherical unit speed nonlightlike curve in pseudo-hyperbolic space and de Sitter space [Formula: see text] and a given point P, we can define naturally the pedal curve of [Formula: see text] relative to the pedal point P. When the pseudo-sphere dual curve germs are nonsingular, singularity types of such pedal curves depend only on locations of pedal points. In this paper, we give a complete list of normal forms for singularities and locations of pedal points when the pseudo-sphere dual curve germs are nonsingular. Furthermore, we obtain the extension results in dualities, which has wid

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14

HO, PAK TUNG. "THE LONG-TIME EXISTENCE AND CONVERGENCE OF THE CR YAMABE FLOW." Communications in Contemporary Mathematics 14, no. 02 (2012): 1250014. http://dx.doi.org/10.1142/s0219199712500149.

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In this paper, we prove the long-time existence of the CR Yamabe flow on the compact strictly pseudoconvex CR manifold with positive CR invariant. We also prove the convergence of the CR Yamabe flow on the sphere by proving that: the contact form which is pointwise conformal to the standard contact form on the sphere converges exponentially to a contact form of constant pseudo-Hermitian sectional curvature. We also show that the eigenvalues of some geometric operators are non-decreasing under the unnormalized CR Yamabe flow provided that the pseudo-Hermitian scalar curvature satisfies certain

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15

Alonso, Juan, Hyungryul Baik та Eric Samperton. "On laminar groups, Tits alternatives and convergence group actions on 𝑆2". Journal of Group Theory 22, № 3 (2019): 359–81. http://dx.doi.org/10.1515/jgth-2019-2047.

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Abstract Following previous work of the second author, we establish more properties of groups of circle homeomorphisms which admit invariant laminations. In this paper, we focus on a certain type of such groups, so-called pseudo-fibered groups, and show that many 3-manifold groups are examples of pseudo-fibered groups. We then prove that torsion-free pseudo-fibered groups satisfy a Tits alternative. We conclude by proving that a purely hyperbolic pseudo-fibered group acts on the 2-sphere as a convergence group. This leads to an interesting question if there are examples of pseudo-fibered group

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16

Kuzmina, Luiza. "“Pseudo-precedent” Signs of High Culture from the Citation Source “F.M. Dostoevsky” in the Modern Media Text." Litera, no. 10 (October 2022): 50–61. http://dx.doi.org/10.25136/2409-8698.2022.10.39021.

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The article examines the features of the functioning of precedent signs of high culture with the source sphere “F.M. Dostoevsky” in the media space. The subject of the study is media texts that use the precedents of the specified sphere (texts, statements, situations), the authorship of which is attributed to the writer. The purpose of the article is to identify “false” quotations as part of Dostoevsky's precedent world and analyze their high frequency in media texts. Media texts published in Russian publications, as well as materials from social networks and blogs, were used as the research m

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17

Leonov, V. P., Yu Yu Malinkina, S. D. Drugachuk, I. M. Khachaturyan, and E. V. Chudakov. "Comparative analysis of technological properties and microstructure of titanium powders of different classes of alloys." Voprosy Materialovedeniya, no. 1(117) (October 28, 2024): 86–98. http://dx.doi.org/10.22349/1994-6716-2024-117-1-86-98.

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The results of a study of the technological properties of titanium powders of pseudo-α and pseudo-β alloys are presented. A comparative analysis of the characteristics of powder materials obtained by centrifugal spraying has been carried out. The results of the granulometric composition of the powders were obtained, and the calculation of the spatial packing of particles was applied within the framework of the hard sphere model for various fractional compositions. To compare the microstructure and mechanical properties, test samples from pseudo-α and pseudo-β titanium alloys were obtained usin

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18

Cho, Jong Taek. "Strongly pseudo-convex CR space forms." Complex Manifolds 6, no. 1 (2019): 279–93. http://dx.doi.org/10.1515/coma-2019-0014.

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AbstractFor a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasakian space form, or (iii) M is locally isometric to the unit tangent sphere bundle T1(𝔿n+1) of a hyperbolic space 𝔿n+1 of constant curvature −1.

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19

Sorial, Sarah. "The Legitimacy of Pseudo-Expert Discourse in the Public Sphere." Metaphilosophy 48, no. 3 (2017): 304–24. http://dx.doi.org/10.1111/meta.12233.

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20

Lederer, Albena, Tobias Hartmann, and Hartmut Komber. "Sphere-Like Fourth Generation Pseudo-Dendrimers with a Hyperbranched Core." Macromolecular Rapid Communications 33, no. 17 (2012): 1440–44. http://dx.doi.org/10.1002/marc.201200223.

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21

Artikbaev, A., and B. M. Mamadaliyev. "Features of the geometry of the five-dimensional pseudo-Euclidean space of index two." E3S Web of Conferences 531 (2024): 03007. http://dx.doi.org/10.1051/e3sconf/202453103007.

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The article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective metrics are realized in its subspaces. In the sphere of the imaginary radius of space, de Sitter space is realized. Here there is a space with projective metrics in the sense of Cayley-Klein. It is a three-dimensional space with a metric that preserves space on itself when mapped linearly. The corresponding linear transformation is called the motion

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22

Attia, Nada Adel Hanafi Mahmoud, and Nourhan Tosson Ibrahim Ahmed. "Is TikTok a Public Sphere for Democracy in Egypt? The Application of Habermas’s “Pseudo-Public Sphere”." Studies in Media and Communication 13, no. 2 (2025): 336. https://doi.org/10.11114/smc.v13i2.7474.

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Purpose: This study explores TikTok’s potential as a new space for engagement within Egypt’s media landscape. This study addresses three core questions: 1) What motivates users to discuss public issues on TikTok? 2) How do Egyptians use TikTok for online civic participation? 3) Does TikTok support the emergence of a public sphere in Egypt?Design/methodology/approach: Using qualitative research approach, this study conducted 30 semi-structured interviews with Egyptian TikTok users aged 18 to 35 from diverse socio-economic backgrounds. Thematic coding was applied to analyze their motivations on

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23

KARACA, EMEL, and MUSTAFA CALISKAN. "RULED SURFACES AND TANGENT BUNDLE OF PSEUDO-SPHERE OF NATURAL LIFT CURVES." Journal of Science and Arts 20, no. 3 (2020): 573–86. http://dx.doi.org/10.46939/j.sci.arts-20.3-a07.

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In this article, firstly, the isomorphism between the subset of the tangent bundle of Lorentzian unit sphere, TM, and Lorentzian unit sphere, S12 is represented. Secondly, the isomorphism between the subset of hyperbolic unit sphere, TM, and hyperbolic unit sphere, H2 is given. According to E. Study mapping, any curve on S12 or H2 corresponds to a ruled surface in R13. By constructing these isomorphisms, we correspond to any natural lift curve on TM or TM a unique ruled surface in R13. Then we calculate striction curve, shape operator, Gaussian curvature and mean curvature of these ruled surfa

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24

Lenthe, William, Saransh Singh, and Marc De Graef. "Prediction of potential pseudo-symmetry issues in the indexing of electron backscatter diffraction patterns." Journal of Applied Crystallography 52, no. 5 (2019): 1157–68. http://dx.doi.org/10.1107/s1600576719011233.

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A new methodology to predict potential pseudo-symmetric or systematically mis-indexed orientations for an arbitrary crystal structure is presented. The method leverages the recently proposed spherical indexing algorithm to index electron backscatter diffraction patterns. Potential pseudo-symmetric orientations are interpreted as secondary peaks in the autocorrelation of the Kikuchi sphere. The generality of the method is illustrated using a number of crystal systems, ranging from nickel, where no significant pseudo-symmetric issues are expected, to SrTiO3, with mild occurrence of such issues,

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25

Petingco, Marvin C., Mark E. Casada, Ronaldo G. Maghirang, Oladiran O. Fasina, Zhengpu Chen, and R. P. Kingsly Ambrose. "Influence of Particle Shape and Contact Parameters on DEM-Simulated Bulk Density of Wheat." Transactions of the ASABE 63, no. 6 (2020): 1657–72. http://dx.doi.org/10.13031/trans.13718.

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HighlightsDecreasing aspect ratio and improved geometrical smoothness of particles increased DEM-predicted bulk density of wheat.Among the three particle models, the 5-sphere ellipsoidal particle was the best option to represent wheat particles, as indicated by the simulated bulk densities that best agreed with the experiments.Among the contact parameters, the wheat-to-wheat coefficient of static friction and wheat-surface coefficient of rolling friction had the greatest influence on simulated bulk density.Abstract. The discrete element method (DEM) has been shown to be an effective tool for s

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26

Li, Dong Dong, Ming Ming Xu, Li Ming Xu, and De Jin Hu. "Modeling and Simulation of NC Precision Sphere Grinding Machine Feed Drive System." Applied Mechanics and Materials 130-134 (October 2011): 585–89. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.585.

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The feed drive system model of NC precision sphere grinding machine (MD6040) is constructed. Although a large number of researchers pay more attention on advanced controllers, most high performance machine tools still adopt PID (Proportion Integration Differentiation) controller today. In this paper, PDF (Pseudo-Derivative Feedback) controller and PDFF (Pseudo-Derivative Control with feedforward Gain) controller which evolved from PID controller are studied. The performance of PID controller, PDF controller and PDFF controller is investigated by simulation and experiment. Both simulation resul

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27

DASMAHAPATRA, SRINANDAN. "THE XY-MODEL ON A PSEUDO-SPHERE: A RENORMALIZATION GROUP ANALYSIS." Modern Physics Letters B 04, no. 20 (1990): 1273–79. http://dx.doi.org/10.1142/s0217984990001604.

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We present some simple arguments to indicate that the XY model defined on a space of constant negative curvature is disordered at all non-zero finite temperatures. This corroborates a result which Wilczek and Callan arrived at recently.

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28

Espinosa, Jorge R., Eduardo Sanz, Chantal Valeriani, and Carlos Vega. "On fluid-solid direct coexistence simulations: The pseudo-hard sphere model." Journal of Chemical Physics 139, no. 14 (2013): 144502. http://dx.doi.org/10.1063/1.4823499.

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29

Karaca, Emel. "Non-null slant ruled surfaces and tangent bundle of pseudo-sphere." AIMS Mathematics 9, no. 8 (2024): 22842–58. http://dx.doi.org/10.3934/math.20241111.

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<p>A slant ruled surface is a unique type of ruled surface composed by Frenet vectors that form a constant angle with each other and with specific directions in space. In this paper, the non-null slant ruled surface, which is generated by the striction curve of the natural lift curve, was constructed with a novel approximation in $ E^{3}_{1} $. To establish the approximation, E. Study mapping was then applied to determine the relationship between pseudo-spheres and non-null slant ruled surfaces that are generated by the striction curves of the natural lift curves. Furthermore, $ \vec{\ba

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30

Polyakov, Alexander M., Zain H. Saleem, and James Stokes. "The curious case of large-N expansions on a (pseudo)sphere." Nuclear Physics B 893 (April 2015): 54–69. http://dx.doi.org/10.1016/j.nuclphysb.2015.01.024.

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31

Gorokh, V. P. "Minimal surfaces of constant Gaussian curvature in a pseudo-Riemannian sphere." Journal of Soviet Mathematics 59, no. 2 (1992): 709–14. http://dx.doi.org/10.1007/bf01097167.

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32

Llibre, Jaume, and Robert S. Mackay. "Pseudo-Anosov homeomorphisms on a sphere with four punctures have all periods." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 3 (1992): 539–49. http://dx.doi.org/10.1017/s030500410007122x.

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AbstractIt is proved that if ƒ is a homeomorphism of the two-sphere with an invariant set V of cardinality N = 4, then either ƒ has periodic orbits of all periods or it belongs to one of a small number of algebraically finite isotopy classes relative to V. For N ≤ 4, the second case always holds. On the other hand, for each N ≥ 7 we give examples of pseudo-Anosov homeomorphisms of the sphere, relative to a set of N points, for which not all periods occur.

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33

Uçum, Ali, Makoto Sakaki та Kazım İlarslan. "Lorentzian stationary surfaces and bi-null curves in ℝ25". International Journal of Geometric Methods in Modern Physics 14, № 10 (2017): 1750143. http://dx.doi.org/10.1142/s0219887817501432.

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In this paper, we study Lorentzian stationary surfaces related to bi-null curves in [Formula: see text]. Considering a Gauss-like map, we get Lorentzian stationary surfaces and marginally trapped surfaces in the pseudo-sphere [Formula: see text].

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34

Saad, M. Khalifa, H. S. Abdel-Aziz, and I. K. Youssef. "Spinor Formulation of Frenet Normal Spherical Image in Euclidean and Pseudo-Euclidean Spaces." International Journal of Analysis and Applications 23 (June 26, 2025): 151. https://doi.org/10.28924/2291-8639-23-2025-151.

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In this paper, we introduce one of the spherical images of a regular curve by translating Frenet frame vectors to the center of the unit sphere (Lorentizian sphere) of the Euclidean 3-space E3 (pseudo-Euclidean 3-space E1,2). Especially, Frenet formulas for the normal spherical image of a regular curve can be obtained in terms of spinors. As a result of this study, we found that Frenet equations for that one can be simplified to a single equation with two complex components. Finally, interesting illustrative examples of the obtained results are given and plotted.

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35

Kim, Myeongjin, Hyun Ju, and Jooheon Kim. "Oxygen-doped porous silicon carbide spheres as electrode materials for supercapacitors." Physical Chemistry Chemical Physics 18, no. 4 (2016): 3331–38. http://dx.doi.org/10.1039/c5cp06438d.

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Oxygen-containing functional groups were introduced onto the surface of the micro- and meso-porous silicon carbide sphere (MMPSiC) in order to investigate the relationship between the electric double layer properties and pseudo-capacitive properties; the degree of oxidation of MMPSiC was also optimized.

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36

BEKAR, Murat, and Fouzi HATHOUT. "Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space." General Letters in Mathematics 5, no. 2 (2018): 58–70. http://dx.doi.org/10.31559/glm2018.5.2.1.

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37

Choudhary, Majid Ali. "First nonzero eigenvalue of a pseudo-umbilical hypersurface in the unit sphere." Russian Mathematics 58, no. 8 (2014): 56–64. http://dx.doi.org/10.3103/s1066369x14080076.

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38

Cho, Jong Taek, and Sun Hyang Chun. "THE UNIT TANGENT SPHERE BUNDLE WHOSE CHARACTERISTIC JACOBI OPERATOR IS PSEUDO-PARALLEL." Bulletin of the Korean Mathematical Society 53, no. 6 (2016): 1715–23. http://dx.doi.org/10.4134/bkms.b150897.

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39

IWAMURO, Minoru, Tomoaki WATAMURA, and Kazuyasu SUGIYAMA. "The Influence of Ultrasound Irradiation on Falling Sphere in Pseudo-Plastic Fluid." JAPANESE JOURNAL OF MULTIPHASE FLOW 33, no. 1 (2019): 87–95. http://dx.doi.org/10.3811/jjmf.2019.007.

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40

Lü, H., C. N. Pope, and Zhao-Long Wang. "Pseudo-supersymmetry, consistent sphere reduction and Killing spinors for the bosonic string." Physics Letters B 702, no. 5 (2011): 442–47. http://dx.doi.org/10.1016/j.physletb.2011.07.041.

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41

Nouicer, Kh, and L. Chetouani. "Path integral for relativistic Aharonov–Bohm–Coulomb system on the pseudo-sphere." Journal of Mathematical Physics 42, no. 3 (2001): 1053. http://dx.doi.org/10.1063/1.1329660.

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42

Ablitsov, Vitalii. "Struggle for Ukrainian Mass Media is Becoming More Aggravated." Ukrainian Information Space, no. 2 (December 20, 2018): 238–45. https://doi.org/10.31866/2616-7948.2.2018.152096.

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The processes, taking place in our national information space, cannot but put us on guard. Most alarming they are in the sphere of TV-speaking. Now they look especially dangerous, when Ukraine is in military confrontation, combined with hybrid war with aggressive Northern neighbour. We have been experiencing a difficult period of attempts of reforms’ implementation, which have been declared by the authorities (unfortunately, the majority of them are pseudo plans), especially in information sphere. Both the results of future elections and the future of our state directly depend on these r

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43

Patel, LK, and NP Mehta. "An Exact Model of an Anisotropic Relativistic Sphere." Australian Journal of Physics 48, no. 4 (1995): 635. http://dx.doi.org/10.1071/ph950635.

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In this paper the field equations of general relativity are solved to obtain an exact solution for a static anisotropic fluid sphere. The solution is free from singularity and satisfies the necessary physical requirements. The physical 3-space of the solution is pseudo-spheroidal. The solution is matched at the boundary with the Schwarzschild exterior solution. Numerical estimates of various physical parameters are briefly discussed.

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44

Khan, Meraj Ali, Ali H. Alkhaldi, and Mohd Aquib. "Estimation of eigenvalues for the $ \alpha $-Laplace operator on pseudo-slant submanifolds of generalized Sasakian space forms." AIMS Mathematics 7, no. 9 (2022): 16054–66. http://dx.doi.org/10.3934/math.2022879.

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<abstract><p>In this study, we seek to establish new upper bounds for the mean curvature and constant sectional curvature of the first positive eigenvalue of the $ \alpha $-Laplacian operator on Riemannian manifolds. More precisely, various methods are used to determine the first eigenvalue for the $ \alpha $-Laplacian operator on the closed oriented pseudo-slant submanifolds in a generalized Sasakian space form. From our findings for the Laplacian, we extend many Reilly-like inequalities to the $ \alpha $-Laplacian on pseudo slant submanifold in a unit sphere.</p></abstra

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45

Kitaigorodskii, A. N., and A. N. Belyaev. "Solvation of Coordinatively Saturated Metal Complexes of Nitrogen Ligands." Zeitschrift für Naturforschung A 40, no. 12 (1985): 1271–77. http://dx.doi.org/10.1515/zna-1985-1214.

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1H NMR shifts were measured for ten organic compounds L in solutions containing paramagnetic bis[hydrotris(l-pyrazolyl)borato]cobalt(II), Co(HBpz3)2. The observed paramagnetic shifts were accounted for by pseudo-contact interactions in the outer-sphere adducts of Co(HBpz3)2 · L. From the concentration dependence of the induced shifts, the thermodynamic parameters of the outer-sphere complexation were determined. It is shown that a simple electrostatic model of Co(HBpz3)2 solvation is not consistent with the experimental results. Comparison of the data for pyrazolylborate and β-diketonate trans

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46

Olajire, B. A., and A. A. Musari. "Thermodynamic and structural properties of liquid Al–Au alloys." International Journal of Modern Physics B 31, no. 20 (2017): 1750134. http://dx.doi.org/10.1142/s021797921750134x.

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The mixing properties of liquid Al–Au alloys with respect to the concentration of each constituent is determined using a method based on hard sphere system and pseudo-potential perturbation. These models were used to get relevant information on mixing properties of the Al–Au alloys like the Gibbs energy and the entropy of mixing. The concentration fluctuations, chemical short range order for the hard sphere mixture (quasi-lattice theory) and the activity are calculated to know the extent of order in the liquid alloys. The results revealed that there is a degree of ordering in liquid Al–Au allo

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47

SHUBHI, Ilmiawan, and Yukitoshi SANADA. "Pseudo Distance for Trellis Coded Modulation in Overloaded MIMO OFDM with Sphere Decoding." IEICE Transactions on Communications E99.B, no. 3 (2016): 723–31. http://dx.doi.org/10.1587/transcom.2015ebp3218.

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48

Bellucci, Stefano, Francesco Toppan, and Vahagn Yeghikyan. "The second Hopf map and Yang–Coulomb system on a 5D (pseudo)sphere." Journal of Physics A: Mathematical and Theoretical 43, no. 4 (2010): 045205. http://dx.doi.org/10.1088/1751-8113/43/4/045205.

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49

Kristiansen, K. Uldall, M. Vereshchagin, K. Goździewski, P. L. Palmer, and R. M. Roberts. "The two-body problem of a pseudo-rigid body and a rigid sphere." Celestial Mechanics and Dynamical Astronomy 112, no. 2 (2012): 169–90. http://dx.doi.org/10.1007/s10569-011-9390-y.

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Chang, Jinwei, Yuyan Wang, Nan Zeng, and Yanhua Yu. "Soliton solution to the time-like curve shortening flow in the pseudo-sphere." Journal of Physics: Conference Series 2441, no. 1 (2023): 012031. http://dx.doi.org/10.1088/1742-6596/2441/1/012031.

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Abstract:

Abstract A time-like curve on the unit pseudo-sphere can be a solition solution to the time-like curve shortening flow We first introduce the sufficient conditions for it to hold. And by studying the properties of the structure function of non-geodesic curves, I deduce some conditions to be satisfied by the structure function of non-geodesic curves when forming the time-like space plane, and then analyze the influence of the extreme value point of the structure function, and finally discuss the classification according to the time-like space-like situation of the parameter vector.

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