Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics

被引：0
|
作者：
DUAN Hua Gui [1 ]
LIU Hui [2 ]
机构：
[1] School of Mathematical Sciences and LPMC, Nankai University
[2] Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences,School of Mathematical Sciences, University of Science and Technology of China
来源：
Science China Mathematics | 2016年 / 59卷 / 03期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
closed geodesics; multiplicity; bumpy; Finsler spheres; irrationally elliptic;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
If all prime closed geodesics on（S;, F） with an irreversible Finsler metric F are irrationally elliptic,there exist either exactly 2 [（n+1）/2] or infinitely many distinct closed geodesics. As an application, we show the existence of three distinct closed geodesics on bumpy Finsler（S;, F） if any prime closed geodesic has non-zero Morse index.
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页码：531 / 538
页数：8
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