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

被引：2
|
作者：
Duan HuaGui [1 ,2 ]
Liu Hui [3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Peoples R 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; MASLOV-TYPE INDEX; COMPACT CONVEX HYPERSURFACES; STABILITY; 2-SPHERES; 3-SPHERES; ITERATION; DYNAMICS; FORMULAS; POINTS;
D O I：
10.1007/s11425-015-5076-3
中图分类号：
O29 [应用数学];
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 or infinitely many distinct closed geodesics. As an application, we show the existence of three distinct closed geodesics on bumpy Finsler (S (3), 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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