Log in

Relevant bibliographies by topics / Riemannsk geometri / Journal articles

To see the other types of publications on this topic, follow the link: Riemannsk geometri.

Journal articles on the topic 'Riemannsk geometri'

Author: Grafiati

Published: 22 June 2024

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Riemannsk geometri.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Widder, Nathan. "The Mathematics of Continuous Multiplicities: The Role of Riemann in Deleuze's Reading of Bergson." Deleuze and Guattari Studies 13, no. 3 (2019): 331–54. http://dx.doi.org/10.3366/dlgs.2019.0361.

Full text

Abstract:

A central claim of Deleuze's reading of Bergson is that Bergson's distinction between space as an extensive multiplicity and duration as an intensive multiplicity is inspired by the distinction between discrete and continuous manifolds found in Bernhard Riemann's 1854 thesis on the foundations of geometry. Yet there is no evidence from Bergson that Riemann influences his division, and the distinction between the discrete and continuous is hardly a Riemannian invention. Claiming Riemann's influence, however, allows Deleuze to argue that quantity, in the form of ‘virtual number’, still pertains

APA, Harvard, Vancouver, ISO, and other styles

2

VACARU, SERGIU I. "FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY." International Journal of Geometric Methods in Modern Physics 05, no. 04 (2008): 473–511. http://dx.doi.org/10.1142/s0219887808002898.

Full text

Abstract:

We review the current status of Finsler–Lagrange geometry and generalizations. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skilled in general relativity and particle theories, to understand the crucial importance of such geometric methods for applications in modern physics. We also would like to orient mathematicians working in generalized Finsler and Kähler geometry and geometric mechanics how they could perform their results in order to be accepted by the community of "orthodox" physicists. Although the bulk of former models of Finsler–Lagrange spaces where

APA, Harvard, Vancouver, ISO, and other styles

3

Itin, Yakov. "Pseudo-Riemann’s quartics in Finsler’s geometry—two-dimensional case." Journal of Physics: Conference Series 2482, no. 1 (2023): 012007. http://dx.doi.org/10.1088/1742-6596/2482/1/012007.

Full text

Abstract:

Abstract Finsler’s geometry usually describes an extension of Riemmann’s geometry into a direction-dependent geometric structure. Historically, the well-known Riemann’s quartic length element example served as the inspiration for this construction. Surprisingly, the covariant Fresnel equation—a fundamental dispersion relation in solid-state electrodynamics—emerges as the exact same quartic expression. As a result, Riemann’s quartic length expression can be regarded of as a mathematical representation of a well-known physical phenomenon. In this study, we offer numerous Riemann’s quartic exampl

APA, Harvard, Vancouver, ISO, and other styles

4

Lesfari, A. "Riemann-Roch theorem and Kodaira-Serre duality." Annals of West University of Timisoara - Mathematics and Computer Science 58, no. 1 (2022): 4–17. http://dx.doi.org/10.2478/awutm-2022-0002.

Full text

Abstract:

Abstract The Riemann-Roch theorem is of utmost importance and a vital tool to the fields of complex analysis and algebraic geometry, specifically in the algebraic geometric theory of compact Riemann surfaces. It tells us how many linearly independent meromorphic functions there are having certain restrictions on their poles. The aim of this paper is to give two proofs of this important theorem and explore some of its numerous consequences. As an application, we compute the genus of some interesting algebraic curves or Riemann surfaces.

APA, Harvard, Vancouver, ISO, and other styles

5

Mattes, M., and M. Sorg. "Riemann - Cartan Geometry of Trivializable Gauge Fields." Zeitschrift für Naturforschung A 44, no. 3 (1989): 222–38. http://dx.doi.org/10.1515/zna-1989-0309.

Full text

Abstract:

A Riemann-Cartan structure can be associated to any SO (4) trivializable gauge field. Under certain integrability conditions, this non-Riemannian geometry may be replaced by a strictly Riemannian one. The Yang-Mills equations guarantee the existence of such a Riemannian structure. The general SO(4) trivializable solution for the SO(3) Yang-Mills equations is discussed within the geometric approach.

APA, Harvard, Vancouver, ISO, and other styles

6

Katanaev, Mikhail O., and Alexander V. Mark. "Combined Screw and Wedge Dislocations." Universe 9, no. 12 (2023): 500. http://dx.doi.org/10.3390/universe9120500.

Full text

Abstract:

Elastic media with defects are considered manifold with nontrivial Riemann–Cartan geometry in the geometric theory of defects. We obtain the solution of three-dimensional Euclidean general relativity equations with an arbitrary number of linear parallel sources. It describes elastic media with parallel combined wedge and screw dislocations.

APA, Harvard, Vancouver, ISO, and other styles

7

Hoare, Graham. "Bernhard Riemann’s legacy of 1859." Mathematical Gazette 93, no. 528 (2009): 468–75. http://dx.doi.org/10.1017/s0025557200185213.

Full text

Abstract:

The German version of Riemann’s Collected Works is confined to a single volume of 690 pages. Even so, this volume has had an abiding and profound impact on modern mathematics and physics, as we shall see. In fifteen years of activity, from 1851, when he gained his doctorate at the University of Göttingen, to his death in 1866, two months short of his fortieth birthday, Riemann contributed to almost all areas of mathematics. He perceived mathematics from the analytic point of view and used analysis to illuminate subjects as diverse as number theory and geometry. Although regarded principally as

APA, Harvard, Vancouver, ISO, and other styles

8

Kagan, V. F. "Riemann's Geometric Ideas." American Mathematical Monthly 112, no. 1 (2005): 79. http://dx.doi.org/10.2307/30037389.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kagan, V. F. "Riemann's Geometric Ideas." American Mathematical Monthly 112, no. 1 (2005): 79–86. http://dx.doi.org/10.1080/00029890.2005.11920172.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Guo, Enli, and Xiaohuan Mo. "Riemann-Finsler geometry." Frontiers of Mathematics in China 1, no. 4 (2006): 485–98. http://dx.doi.org/10.1007/s11464-006-0023-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Solikin, Agus. "Konsep Kesejajaran Garis dalam Geometri Euclid dan Geometri Riemann serta Aplikasinya dalam Kajian Ilmu Falak." MUST: Journal of Mathematics Education, Science and Technology 2, no. 2 (2017): 243. http://dx.doi.org/10.30651/must.v2i2.865.

Full text

Abstract:

Kesejajaran garis dalam geometri Euclid dan Riemann dalam kajian matematika memiliki perbedaan. Perbedaan dalam konsep kesejajaran garis tersebut, tentunya akan memberikan perbedaan pada kajian-kajian berikutnya. Berdasarkan hal tersebut, maka penelitian ini dirancang untuk mengkaji berkenaan konsep kesejajaran garis dalam geometri Euclid dan Riemann, kemudian aplikasinya dalam kajian ilmu Falak Berdasarkan fokus pembahasan tersebut, maka metode penelitian direncanakan dalam bentuk deskriptif kualitatif, dengan sumber data literatur-literatur yang terkait dengan fokus penelitian dan data dikum

APA, Harvard, Vancouver, ISO, and other styles

12

Sukestiyarno, Yohanes Leonardus, Khathibul Umam Zaid Nugroho, Sugiman Sugiman, and Budi Waluya. "Learning trajectory of non-Euclidean geometry through ethnomathematics learning approaches to improve spatial ability." Eurasia Journal of Mathematics, Science and Technology Education 19, no. 6 (2023): em2285. http://dx.doi.org/10.29333/ejmste/13269.

Full text

Abstract:

Non-Euclidean geometry is an abstract subject and difficult to learn, but mandatory for students. The ethnomathematics approach as a learning approach to improve students’ spatial abilities. The aim of this research is to discover new elements of the spatial abilities of non-Euclidean geometry; determine the relationship between spatial abilities for Euclid, Lobachevsky, and Riemann geometry. This study used the micro genetic method with a 2×2 factorial experimental research design. The sample of this research is 100 students of mathematics education. There are three valid and reliable researc

APA, Harvard, Vancouver, ISO, and other styles

13

Berardini, Elena, Alain Couvreur, and Grégoire Lecerf. "A Proof of the Brill-Noether Method from Scratch." ACM Communications in Computer Algebra 57, no. 4 (2023): 200–229. http://dx.doi.org/10.1145/3653002.3653004.

Full text

Abstract:

In 1874 Brill and Noether designed a seminal geometric method for computing bases of Riemann-Roch spaces. From then, their method has led to several algorithms, some of them being implemented in computer algebra systems. The usual proofs often rely on abstract concepts of algebraic geometry and commutative algebra. In this paper we present a short self-contained and elementary proof that mostly needs Newton polygons, Hensel lifting, bivariate resultants, and Chinese remaindering.

APA, Harvard, Vancouver, ISO, and other styles

14

De, K., and U. C. De. "Riemann solitons on para-Sasakian geometry." Carpathian Mathematical Publications 14, no. 2 (2022): 395–405. http://dx.doi.org/10.15330/cmp.14.2.395-405.

Full text

Abstract:

The goal of the present article is to investigate almost Riemann soliton and gradient almost Riemann soliton on 3-dimensional para-Sasakian manifolds. At first, it is proved that if $(g, Z,\lambda)$ is an almost Riemann soliton on a para-Sasakian manifold $M^3$, then it reduces to a Riemann soliton and $M^3$ is of constant sectional curvature $-1$, provided the soliton vector $Z$ has constant divergence. Besides these, we prove that if $Z$ is pointwise collinear with the characteristic vector field $\xi$, then $Z$ is a constant multiple of $\xi$ and the manifold is of constant sectional curvat

APA, Harvard, Vancouver, ISO, and other styles

15

Mo, Xiaohuan. "On Riemann-Finsler geometry." Chinese Science Bulletin 43, no. 6 (1998): 447–50. http://dx.doi.org/10.1007/bf02883805.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Hameed, Mustafa I., Issa Alkharusi, Israa A. Ibrahim, et al. "Certain Subordination and Superordination Properties of Analytic Functions." WSEAS TRANSACTIONS ON MATHEMATICS 23 (November 6, 2024): 739–44. http://dx.doi.org/10.37394/23206.2024.23.76.

Full text

Abstract:

In this paper, we extract some subordination and Superordination properties using the characteristics of the generalized byproduct operator. The article aims to demonstrate some applications of the differential subordination concept to univalent function subclasses that contain specific convolutions as operators. During this time, several highly complex mathematical detectives have emerged, including Riemann, Cauchy, Gauss, Euler, and several others. Geometric function theory combines or involves geometry and analysis. The main objectives of the paper above are to investigate the dependence pr

APA, Harvard, Vancouver, ISO, and other styles

17

Shen, Zhongmin. "Riemann-Finsler Geometry with Applications to Information Geometry." Chinese Annals of Mathematics, Series B 27, no. 1 (2006): 73–94. http://dx.doi.org/10.1007/s11401-005-0333-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

FERNÁNDEZ, V. V., W. A. RODRIGUES, A. M. MOYA та R. DA ROCHA. "CLIFFORD AND EXTENSOR CALCULUS AND THE RIEMANN AND RICCI EXTENSOR FIELDS OF DEFORMED STRUCTURES (M, ∇′, η) AND (M, ∇, g)". International Journal of Geometric Methods in Modern Physics 04, № 07 (2007): 1159–72. http://dx.doi.org/10.1142/s021988780700248x.

Full text

Abstract:

Here (the last paper in a series of four) we end our presentation of the basics of a systematical approach to the differential geometry of a smooth manifold M (supporting a metric field g and a general connection ∇) which uses the geometric algebras of multivector and extensors (fields) developed in previous papers. The theory of the Riemann and Ricci fields of a triple (M, ∇, g) is investigated for each particular open set U ⊂ M through the introduction of a geometric structure on U, i.e. a triple (U, γ, g), where γ is a general connection field on U and g is a metric extensor field associate

APA, Harvard, Vancouver, ISO, and other styles

19

Lyzzaik, Abdallah. "The geometry of open continuous mappings having two valences between Riemann surfaces." Mathematical Proceedings of the Cambridge Philosophical Society 120, no. 2 (1996): 309–29. http://dx.doi.org/10.1017/s0305004100074879.

Full text

Abstract:

AbstractAn open continuous function from an open Riemann surface with finite genus and finite number of boundary components into a closed Riemann surface is termed a (p, q)-map, 0 < q < p, if it has a finite number of branch points and assumes every point in the image surface either p or q times, counting multiplicity, with possibly a finite number of exceptions.The object of this paper is to prove that the geometry of any (p, q)-map resembles that of a (p, q)-map whose q-set (the set of image points of f that are taken on exactly q times, counting multiplicity), constitutes a finite set

APA, Harvard, Vancouver, ISO, and other styles

20

Chern, Shiing-Shen, and Shanyu Ji. "Projective geometry and Riemann's mapping problem." Mathematische Annalen 302, no. 1 (1995): 581–600. http://dx.doi.org/10.1007/bf01444509.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Cheng, Jih-Hsin. "Submanifolds in Cauchy Riemann Geometry." Journal of Mathematical Study 53, no. 4 (2020): 471–92. http://dx.doi.org/10.4208/jms.v53n4.20.04.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Chen, Chuanmiao. "Geometric Proof of Riemann Conjecture." Advances in Pure Mathematics 11, no. 04 (2021): 334–45. http://dx.doi.org/10.4236/apm.2021.114021.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Xue, Fangxiu, Xiaowei Zhang, Zepeng Wang, et al. "Analysis of Imaging Internal Defects in Living Trees on Irregular Contours of Tree Trunks Using Ground-Penetrating Radar." Forests 12, no. 8 (2021): 1012. http://dx.doi.org/10.3390/f12081012.

Full text

Abstract:

The outer contours of living trees are often considered as a standard circle during non-destructive testing (NDT) of internal defects using ground-penetrating radar (GPR). However, the detection of classical cross-sections (circular) lacks consideration of irregular contours, making it difficult to accurately locate the radar image of the target. In this paper, we propose a method based on the image affine transformation and the Riemann mapping principle to analyze the effect of irregular detection routes on the geometric characteristics of target reflection hyperbola. First, for the similar o

APA, Harvard, Vancouver, ISO, and other styles

24

Hitching, George H. "Geometry of Vector Bundle Extensions and Applications to a Generalised Theta Divisor." MATHEMATICA SCANDINAVICA 112, no. 1 (2013): 61. http://dx.doi.org/10.7146/math.scand.a-15233.

Full text

Abstract:

Let $E$ and $F$ be vector bundles over a complex projective smooth curve $X$, and suppose that $0 \to E \to W \to F \to 0$ is a nontrivial extension. Let $G \subseteq F$ be a subbundle and $D$ an effective divisor on $X$. We give a criterion for the subsheaf $G(-D) \subset F$ to lift to $W$, in terms of the geometry of a scroll in the extension space ${\mathbf{P}} H^{1}(X, \mathrm{Hom}(F, E))$. We use this criterion to describe the tangent cone to the generalised theta divisor on the moduli space of semistable bundles of rank $r$ and slope $g-1$ over $X$, at a stable point. This gives a genera

APA, Harvard, Vancouver, ISO, and other styles

25

Al-Qashbari, Adel M., and Saeedah M. Baleedi. "ON THE LIE DERIVATIVE OF CURVATURE TENSORS AND THEIR RELATIONS IN \(GBK- 5RF_n\)." Electronic Journal of University of Aden for Basic and Applied Sciences 5, no. 4 (2024): 464–68. https://doi.org/10.47372/ejua-ba.2024.4.403.

Full text

Abstract:

This paper investigates the behavior of curvature tensors under the Lie derivative. We derive novel relations between various curvature tensors, such as the Riemann curvature tensor, Ricci tensor, and scalar curvature, when subjected to the Lie derivative. Our results provide a deeper understanding of the geometric properties of manifolds and have potential applications in fields such as general relativity and differential geometry. Also, we build upon the definitions for the conformal and conharmonice curvature tensor in generaralized fifth recurrent Finsler space \(GBK-5RF_n\). We study the

APA, Harvard, Vancouver, ISO, and other styles

26

Borot, Gaëtan, Samuel Grushevsky, and Martin Möller. "Riemann Surfaces: Random, Flat, and Hyperbolic Geometry." Oberwolfach Reports 21, no. 3 (2025): 2369–424. https://doi.org/10.4171/owr/2024/41.

Full text

Abstract:

This workshop brought together experts in Riemann surfaces from the point of view of hyperbolic geometry, experts on flat surfaces from the point of view of Teichmüller dynamics, and the combinatorics and probability community working on asymptotic properties, to focus on asymptotic behavior of Riemann surfaces and their combinatorial models at large genus.

APA, Harvard, Vancouver, ISO, and other styles

27

Bojarski, B., and G. Khimshiashvili. "Global Geometric Aspects of Riemann–Hilbert Problems." gmj 8, no. 4 (2001): 713–26. http://dx.doi.org/10.1515/gmj.2001.713.

Full text

Abstract:

Abstract We discuss some global properties of an abstract geometric model for Riemann–Hilbert problems introduced by the first author. In particular, we compute the homotopy groups of elliptic Riemann–Hilbert problems and describe some connections with the theory of Fredholm structures which enable one to introduce more subtle geometrical and topological invariants for families of such problems.

APA, Harvard, Vancouver, ISO, and other styles

28

Şahin, Bayram. "Warped Product Lightlike Submanifolds." Sarajevo Journal of Mathematics 1, no. 2 (2024): 251–60. http://dx.doi.org/10.5644/sjm.01.2.10.

Full text

Abstract:

e study a new class of lightlike submanifolds $M$, called warped product lightlike submanifolds, of a semi-Riemann manifold. We show that the null geometry of $M$ reduces to the corresponding non-degenerate geometry of its semi-Riemann submanifold. 2000 Mathematics Subject Classification. 53C15, 53C40, 53C50

APA, Harvard, Vancouver, ISO, and other styles

29

Debbasch, Fabrice. "Discrete Geometry from Quantum Walks." Condensed Matter 4, no. 2 (2019): 40. http://dx.doi.org/10.3390/condmat4020040.

Full text

Abstract:

A particular family of Discrete Time Quantum Walks (DTQWs) simulating fermion propagation in 2D curved space-time is revisited. Usual continuous covariant derivatives and spin-connections are generalized into discrete covariant derivatives along the lattice coordinates and discrete connections. The concepts of metrics and 2-beins are also extended to the discrete realm. Two slightly different Riemann curvatures are then defined on the space-time lattice as the curvatures of the discrete spin connection. These two curvatures are closely related and one of them tends at the continuous limit towa

APA, Harvard, Vancouver, ISO, and other styles

30

Bouali, Amine, Himanshu Chaudhary, Lehel Csillag, et al. "From Barthel–Randers–Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology." Universe 11, no. 7 (2025): 198. https://doi.org/10.3390/universe11070198.

Full text

Abstract:

We present a review of recent developments in cosmological models based on Finsler geometry, as well as geometric extensions of general relativity formulated within this framework. Finsler geometry generalizes Riemannian geometry by allowing the metric tensor to depend not only on position but also on an additional internal degree of freedom, typically represented by a vector field at each point of the spacetime manifold. We examine in detail the possibility that Finsler-type geometries can describe the physical properties of the gravitational interaction, as well as the cosmological dynamics.

APA, Harvard, Vancouver, ISO, and other styles

31

Eceizabarrena, Daniel. "Geometric differentiability of Riemann's non-differentiable function." Advances in Mathematics 366 (June 2020): 107091. http://dx.doi.org/10.1016/j.aim.2020.107091.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Ma, Wen-Xiu. "Trigonal curves and algebro-geometric solutions to soliton hierarchies II." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2203 (2017): 20170233. http://dx.doi.org/10.1098/rspa.2017.0233.

Full text

Abstract:

This is a continuation of a study on Riemann theta function representations of algebro-geometric solutions to soliton hierarchies. In this part, we straighten out all flows in soliton hierarchies under the Abel–Jacobi coordinates associated with Lax pairs, upon determining the Riemann theta function representations of the Baker–Akhiezer functions, and generate algebro-geometric solutions to soliton hierarchies in terms of the Riemann theta functions, through observing asymptotic behaviours of the Baker–Akhiezer functions. We emphasize that we analyse the four-component AKNS soliton hierarchy i

APA, Harvard, Vancouver, ISO, and other styles

33

Chen, Chuanmiao. "Local Geometric Proof of Riemann Conjecture." Advances in Pure Mathematics 10, no. 10 (2020): 589–610. http://dx.doi.org/10.4236/apm.2020.1010036.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Chen, Chuanmiao. "Geometric Proof of Riemann Conjecture (Continued)." Advances in Pure Mathematics 11, no. 09 (2021): 771–83. http://dx.doi.org/10.4236/apm.2021.119051.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

SHEN, YiBing. "Several problems in Riemann-Finsler geometry." SCIENTIA SINICA Mathematica 45, no. 10 (2015): 1611–18. http://dx.doi.org/10.1360/n012015-00214.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Willmore, Tom. "Riemann extensions and affine differential geometry." Results in Mathematics 13, no. 3-4 (1988): 403–8. http://dx.doi.org/10.1007/bf03323255.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Gu, Xianfeng, Yalin Wang, and Shing-Tung Yau. "Geometric Compression Using Riemann Surface Structure." Communications in Information and Systems 3, no. 3 (2003): 171–82. http://dx.doi.org/10.4310/cis.2003.v3.n3.a2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Giddings, Steven B., and Philip Nelson. "The geometry of super Riemann surfaces." Communications in Mathematical Physics 116, no. 4 (1988): 607–34. http://dx.doi.org/10.1007/bf01224903.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Friedman, Yaakov, Tzvi Scarr, and Joseph Steiner. "A geometric relativistic dynamics under any conservative force." International Journal of Geometric Methods in Modern Physics 16, no. 01 (2019): 1950015. http://dx.doi.org/10.1142/s0219887819500154.

Full text

Abstract:

Riemann’s principle “force equals geometry” provided the basis for Einstein’s General Relativity — the geometric theory of gravitation. In this paper, we follow this principle to derive the dynamics for any static, conservative force. The geometry of spacetime of a moving object is described by a metric obtained from the potential of the force field acting on it. We introduce a generalization of Newton’s First Law — the Generalized Principle of Inertia stating that: An inanimate object moves inertially, that is, with constant velocity, in its own spacetime whose geometry is determined by the f

APA, Harvard, Vancouver, ISO, and other styles

40

Zhang, Yachao, Xuan Lai, Yuan Xie, Yanyun Qu, and Cuihua Li. "Geometry-Aware Discriminative Dictionary Learning for PolSAR Image Classification." Remote Sensing 13, no. 6 (2021): 1218. http://dx.doi.org/10.3390/rs13061218.

Full text

Abstract:

In this paper, we propose a new discriminative dictionary learning method based on Riemann geometric perception for polarimetric synthetic aperture radar (PolSAR) image classification. We made an optimization model for geometry-aware discrimination dictionary learning in which the dictionary learning (GADDL) is generalized from Euclidian space to Riemannian manifolds, and dictionary atoms are composed of manifold data. An efficient optimization algorithm based on an alternating direction multiplier method was developed to solve the model. Experiments were implemented on three public datasets:

APA, Harvard, Vancouver, ISO, and other styles

41

Gursky, Matthew J., and Jeffrey Streets. "A formal Riemannian structure on conformal classes and the inverse Gauss curvature flow." Geometric Flows 4, no. 1 (2019): 30–50. http://dx.doi.org/10.1515/geofl-2019-0003.

Full text

Abstract:

Abstract We define a formal Riemannian metric on a given conformal class of metrics with signed curvature on a closed Riemann surface. As it turns out this metric is the well-known Mabuchi-Semmes-Donaldson metric of Kähler geometry in a different guise. The metric has many interesting properties, and in particular we show that the classical Liouville energy is geodesically convex. This suggests a different approach to the uniformization theorem by studying the negative gradient flow of the normalized Liouville energy with respect to this metric, a new geometric flow whose principal term is the

APA, Harvard, Vancouver, ISO, and other styles

42

Pokhariyal, Ganesh Prasad. "Geometric and Physical Properties of Curvature Tensors -A Review." JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCES 27, no. 03 (2023): 193–205. http://dx.doi.org/10.61294/jiaps2023.2731.

Full text

Abstract:

Bernard Riemann was the first to define curvature tensor. Most of the curvature tensors are defined with the help of Riemann curvaturetensor, Ricci tensor and metric tensor.It has been observed that different combinations of Ricci tensor and metric tensor in the defined tensors lead to some of the different geometrical and physical properties.M.S.C. 2010:53C25, 53C43.

APA, Harvard, Vancouver, ISO, and other styles

43

Tao, Mengshuang, and Huanhe Dong. "Algebro-Geometric Solutions for a Discrete Integrable Equation." Discrete Dynamics in Nature and Society 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/5258375.

Full text

Abstract:

With the assistance of a Lie algebra whose element is a matrix, we introduce a discrete spectral problem. By means of discrete zero curvature equation, we obtain a discrete integrable hierarchy. According to decomposition of the discrete systems, the new differential-difference integrable systems with two-potential functions are derived. By constructing the Abel-Jacobi coordinates to straighten the continuous and discrete flows, the Riemann theta functions are proposed. Based on the Riemann theta functions, the algebro-geometric solutions for the discrete integrable systems are obtained.

APA, Harvard, Vancouver, ISO, and other styles

44

Bowers, Philip L., and Kenneth Stephenson. "The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense." Mathematical Proceedings of the Cambridge Philosophical Society 111, no. 3 (1992): 487–513. http://dx.doi.org/10.1017/s0305004100075575.

Full text

Abstract:

W. Thurston initiated interest in circle packings with his provocative suggestion at the International Symposium in Celebration of the Proof of the Bieberbach Conjecture (Purdue University, 1985) that a result of Andreev[2] had an interpretation in terms of circle packings that could be applied systematically to construct geometric approximations of classical conformal maps. Rodin and Sullivan [11] verified Thurston's conjecture in the setting of hexagonal packings, and more recently Stephenson [12] has announced a proof for more general combinatorics. Inspired by Thurston's work and motivated

APA, Harvard, Vancouver, ISO, and other styles

45

Blaga, Adara. "Geometric solitons in a D-homothetically deformed Kenmotsu manifold." Filomat 36, no. 1 (2022): 175–86. http://dx.doi.org/10.2298/fil2201175b.

Full text

Abstract:

We consider almost Riemann and almost Ricci solitons in a D-homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vector field or the Reeb vector field of the deformed structure, and explicitly obtain the Ricci and scalar curvatures for some cases. We also provide a lower bound for the Ricci curvature of the initial Kenmotsu manifold when the deformed manifold admits a gradient almost Riemann or almost Ricci soliton.

APA, Harvard, Vancouver, ISO, and other styles

46

Stack, George J. "Riemann’s Geometry and Eternal Recurrence as Cosmological Hypothesis." International Studies in Philosophy 21, no. 2 (1989): 37–40. http://dx.doi.org/10.5840/intstudphil198921266.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Eceizabarrena, Daniel. "Some geometric properties of Riemann's non-differentiable function." Comptes Rendus Mathematique 357, no. 11-12 (2019): 846–50. http://dx.doi.org/10.1016/j.crma.2019.10.007.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

çevik, Dinçer. "Riemann’s Philosophy of Geometry and Kant’s Pure Intuition." Organon F 31, no. 2 (2024): 114–40. http://dx.doi.org/10.31577/orgf.2024.31202.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Elbasraoui, Abdelkrim, and Abdellah Sebbar. "Equivariant Forms: Structure and Geometry." Canadian Mathematical Bulletin 56, no. 3 (2013): 520–33. http://dx.doi.org/10.4153/cmb-2011-195-2.

Full text

Abstract:

Abstract.In this paper we study the notion of equivariant forms introduced in the authors' previous works. In particular, we completely classify all the equivariant forms for a subgroup of SL2(ℤ) by means of the cross-ratio, weight 2 modular forms, quasimodular forms, as well as differential forms of a Riemann surface and sections of a canonical line bundle.

APA, Harvard, Vancouver, ISO, and other styles

50

CASTRO, CARLOS, and JORGE MAHECHA. "FRACTAL SUPERSYMMETRIC QM, GEOMETRIC PROBABILITY AND THE RIEMANN HYPOTHESIS." International Journal of Geometric Methods in Modern Physics 01, no. 06 (2004): 751–93. http://dx.doi.org/10.1142/s0219887804000393.

Full text

Abstract:

The Riemann's hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn=1/2+iλn. Earlier work on the RH based on supersymmetric QM, whose potential was related to the Gauss–Jacobi theta series, allows us to provide the proper framework to construct the well-defined algorithm to compute the density of zeros in the critical line, which would complement the existing formulas in the literature for the density of zeros in the critical strip. Geometric probability theory furnishes the answer to the difficult question whether the probability that the RH is true

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!