The index quasi-periodicity and multiplicity of closed geodesics

Abstract

In this paper, we prove the existence of at least two distinct closed geodesics on every compact simply connected irreversible or reversible Finsler (including Riemannian) manifold of dimension not less than 2.

40 pages, submitted

References in corpus (1)

• Multiple closed geodesics on bumpy Finsler $n$-spheres

Cited by in corpus (1)

• Bumpy metrics on spheres and minimal index growth