Stability of closed geodesics on Finsler 2-spheres

被引：20

作者：

Long, Yiming ^{[1
]}

Wang, Wei ^{[2
]}

机构：

[1] Nankai Univ, Chern Inst Math, Key Lab Pure Math & Combinator, Minist Educ, Tianjin 300071, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 03期

关键词：

Finsler spheres; closed geodesics; index iteration; mean index identity; morse inequality; stability;

D O I：

10.1016/j.jfa.2008.05.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infinitely many prime closed geodesics or there exist at least two irrationally elliptic prime closed geodesics. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：620 / 641

页数：22

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