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

被引：0
作者：
HuaGui Duan
Hui Liu
机构：
[1] Nankai University,School of Mathematical Sciences and LPMC
[2] University of Science and Technology of China,Key Laboratory of Wu Wen
来源：
Science China Mathematics | 2016年 / 59卷
关键词：
closed geodesics; multiplicity; bumpy; Finsler spheres; irrationally elliptic; 53C22; 58E05; 58E10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
If all prime closed geodesics on (Sn, F) with an irreversible Finsler metric F are irrationally elliptic, there exist either exactly 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left[ {\frac{{n + 1}}{2}} \right]$$\end{document} 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.
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页码：531 / 538
页数：7
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