Multiple closed geodesics on bumpy Finsler n-spheres

By Huagui Duan, Y. Long. 2007

54 citations recorded by the source corpus.

Abstract In this paper we prove that for every bumpy Finsler metric F on every rationally homological n-dimensional sphere S n with n ⩾ 2 , there exist always at least two distinct prime closed geodesics.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/b12eac387a49dba687e33f9da84e8d6121924341

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Huagui Duan
2. Wei Wang
3. Y. Long
4. Chun-gen Liu

In Astronomy and Astrophysics

1. Huagui Duan
2. Wei Wang
3. Y. Long

In Molecular Biology

1. Huagui Duan
2. Y. Long
3. Wei Wang

Citations in the corpus

• Multiple closed geodesics on 3-spheres (2009, methodology): “(iv) Using the methods of [10] or [40], the existence of at least two geometrically distinct closed geodesics on every bumpy reversible (or Riemannian) d-sphere can be proved to get the well-known result of [12].”
• The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds (2015, methodology): “d as [BaL] in 2010). Since then in the last ten years, a great number of results on the multiplicity and stability of closed geodesics on Finsler manifolds has appeared, for which we refer readers to [DuL1]-[DuL3], [LoD], [LoW], [Rad4]-[Rad6], [Wan1]-[Wan2], [HiR], [XiL], [DLX], and the references t”