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

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~n, 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（S3, F） if any prime closed geodesic has non-zero Morse index.

引用

页码：531 / 538

页数：8

共 12 条

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