Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres |
| |
| Authors: | Huagui Duan Yiming Long |
| |
| Institution: | (1) Chern Institute of Mathematics, Nankai University, Tianjin, 300071, People’s Republic of China;(2) Key Lab of Pure Mathematics and Combinatorics of Ministry of Education, Nankai University, Tianjin, 300071, People’s Republic of China |
| |
| Abstract: | We prove that for every Q-homological Finsler 3-sphere (M, F) with a bumpy and irreversible metric F, either there exist two non-hyperbolic prime closed geodesics, or there exist at least three prime closed geodesics.
Huagui Duan: Partially supported by NNSF and RFDP of MOE of China.
Yiming Long: Partially supported by the 973 Program of MOST, Yangzi River Professorship, NNSF, MCME, RFDP, LPMC of MOE of
China, S. S. Chern Foundation, and Nankai University. |
| |
| Keywords: | 58E10 58E05 37J45 53C22 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
