Geodesics in Randers spaces of constant curvature

被引：0

作者：

Robles, Colleen ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 04期

关键词：

Finsler geometry; Randers metric; constant curvature; geodesics; Zermelo navigation; infinitesimal homothety;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Geodesics in Randers spaces of constant curvature are classified.

引用

页码：1633 / 1651

页数：19

共 50 条

[1] On Randers spaces of constant flag curvature
Bao, D
Robles, C
[J]. REPORTS ON MATHEMATICAL PHYSICS, 2003, 51 (01) : 9 - 42
[2] Hypersurfaces of Randers Spaces with Constant Mean Curvature
Li, Jintang
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (05): : 979 - 996
[3] Randers spaces with reversible geodesics
Crampin, M
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 67 (3-4): : 401 - 409
[4] CUBIC FIRST INTEGRALS OF GEODESICS IN SPACES OF CONSTANT CURVATURE
KATZIN, GH
LEVINE, J
HALSEY, J
[J]. TENSOR, 1967, 18 (01): : 32 - &
[5] EXISTENCE OF HOMOGENEOUS GEODESICS ON HOMOGENEOUS RANDERS SPACES
Yan, Zaili
Deng, Shaoqiang
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2018, 44 (02): : 481 - 493
[6] Simple Closed Geodesics on Regular Tetrahedra in Spaces of Constant Curvature
Sukhorebska, Darya
[J]. JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2022, 18 (04) : 562 - 610
[7] Randers Metrics of Constant Scalar Curvature
Sevim, Esra Sengelen
Shen, Zhongmin
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (03): : 615 - 620
[8] On the Classification of Randers Manifolds of Constant Curvature
Bejancu, Aurel
Farran, Hani Reda
[J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2009, 52 (03): : 227 - 239
[9] RANDERS SPACES WITH SCALAR FLAG CURVATURE
李锦堂
[J]. Acta Mathematica Scientia, 2023, 43 (03) : 994 - 1006
[10] ON THE RIEMANN CURVATURE OPERATORS IN RANDERS SPACES
Rafie-Rad, M.
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (09)

← 1 2 3 4 5 →