The existence of two closed geodesics on every Finsler 2-sphere
classification
🧮 math.SG
math.DS
keywords
closedeveryfinslergeodesicssphereanosovcasedimensional
read the original abstract
In this paper, we prove that for every Finsler metric on the 2-dimensional sphere there exist at least two distinct prime closed geodesics. For the case of the two-sphere, this solves an open problem posed by D. V. Anosov in 1974.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.