2000 character limit reached
On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics (1504.07007v1)
Published 27 Apr 2015 in math.DG and math.DS
Abstract: If all prime closed geodesics on $(Sn,F)$ with an irreversible Finsler metric $F$ are irrationally elliptic, there exist either exactly $2\left[\frac{n+1}{2}\right]$ or infinitely many distinct closed geodesics. As an application, we show the existence of three distinct closed geodesics on bumpy Finsler $(S3,F)$ if any prime closed geodesic has non-zero Morse index.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.