Existence of closed geodesics on positively curved Finsler manifolds

被引：36

作者：

Rademacher, Hans-Bert ^{[1
]}

机构：

[1] Univ Leipzig, Inst Math, D-04109 Leipzig, Germany

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷

关键词：

D O I：

10.1017/S0143385706001064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For non-reversible Finsler metrics of positive flag curvature on spheres and projective spaces we present results about the number and the length of closed geodesics and about their stability properties.

引用

页码：957 / 969

页数：13

共 50 条

[21] TWO CLOSED GEODESICS ON COMPACT SIMPLY CONNECTED BUMPY FINSLER MANIFOLDS
Duan, Huagui
Long, Yiming
Wang, Wei
JOURNAL OF DIFFERENTIAL GEOMETRY, 2016, 104 (02) : 275 - 289
[22] ON THE EXISTENCE OF CLOSED GEODESICS ON NONCOMPACT RIEMANNIAN-MANIFOLDS
BENCI, V
GIANNONI, F
DUKE MATHEMATICAL JOURNAL, 1992, 68 (02) : 195 - 215
[23] The existence of two closed geodesics on every Finsler 2-sphere
Bangert, Victor
Long, Yiming
MATHEMATISCHE ANNALEN, 2010, 346 (02) : 335 - 366
[24] The existence of two closed geodesics on every Finsler 2-sphere
Victor Bangert
Yiming Long
Mathematische Annalen, 2010, 346 : 335 - 366
[25] Closed geodesics on Finsler spheres
Wei Wang
Calculus of Variations and Partial Differential Equations, 2012, 45 : 253 - 272
[26] Closed geodesics on Finsler spheres
Wang, Wei
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2012, 45 (1-2) : 253 - 272
[27] A NOTE ON THE EXISTENCE OF TUBULAR NEIGHBOURHOODS ON FINSLER MANIFOLDS AND MINIMIZATION OF ORTHOGONAL GEODESICS TO A SUBMANIFOLD
Alves, Benigno
Angel Javaloyes, Miguel
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (01) : 369 - 376
[28] Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics
Duan HuaGui
Liu Hui
SCIENCE CHINA-MATHEMATICS, 2016, 59 (03) : 531 - 538
[29] Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics
HuaGui Duan
Hui Liu
Science China Mathematics, 2016, 59 : 531 - 538
[30] Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics
DUAN Hua Gui
LIU Hui
Science China(Mathematics), 2016, 59 (03) : 531 - 538

← 1 2 3 4 5 →