The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds

By Huagui Duan, Y. Long, Wei Wang. 2015

56 citations recorded by the source corpus.

In this paper, we first generalize the common index jump theorem for symplectic matrix paths proved in Long and Zhu (Ann Math 155:317–368, 2002), and get an enhanced version of it. Then we give several applications providing lower bounds on the number of distinct closed geodesics in various settings on compact simply-connected Finsler manifolds.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e94534ace4b4f98265497d14060d5e7348eb9909