Պահպանված է:
| Հիմնական հեղինակ: | |
|---|---|
| Ձևաչափ: | Preprint |
| Հրապարակվել է: |
2018
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| Խորագրեր: | |
| Առցանց հասանելիություն: | https://arxiv.org/abs/1804.08452 |
| Ցուցիչներ: |
Ավելացրեք ցուցիչ
Չկան պիտակներ, Եղեք առաջինը, ով նշում է այս գրառումը!
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| _version_ | 1866918045585244160 |
|---|---|
| author | Wang, Wei |
| author_facet | Wang, Wei |
| contents | In this paper, we prove there are at least two closed geodesics
on any compact bumpy Finsler $n$-manifold with finite fundamental group and $n\ge 2$.
Thus generically there are at least two closed geodesics
on compact Finsler manifolds with finite fundamental group. Furthermore, there are at least two closed geodesics
on any compact Finsler $2$-manifold, and this lower bound is achieved
by the Katok 2-sphere $(S^2, F)$ and 2-real projective space $(S^2/\Z_2, F)$, cf. \cite{Kat}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_08452 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Two closed geodesics on compact bumpy Finsler manifolds Wang, Wei Differential Geometry 53C22, 58E05, 58E10 In this paper, we prove there are at least two closed geodesics on any compact bumpy Finsler $n$-manifold with finite fundamental group and $n\ge 2$. Thus generically there are at least two closed geodesics on compact Finsler manifolds with finite fundamental group. Furthermore, there are at least two closed geodesics on any compact Finsler $2$-manifold, and this lower bound is achieved by the Katok 2-sphere $(S^2, F)$ and 2-real projective space $(S^2/\Z_2, F)$, cf. \cite{Kat}. |
| title | Two closed geodesics on compact bumpy Finsler manifolds |
| topic | Differential Geometry 53C22, 58E05, 58E10 |
| url | https://arxiv.org/abs/1804.08452 |