English

Two short closed geodesics on a sphere of odd dimension

Differential Geometry 2023-01-19 v2

Abstract

We show that for an open and dense set non-reversible Finsler metrics on a sphere of odd dimension n=2m13n=2m-1 \ge 3 there is a second closed geodesic with Morse index 4(m+2)(m1)+2.\le 4(m+2)(m-1)+2.

Keywords

Cite

@article{arxiv.2203.07896,
  title  = {Two short closed geodesics on a sphere of odd dimension},
  author = {Hans-Bert Rademacher},
  journal= {arXiv preprint arXiv:2203.07896},
  year   = {2023}
}

Comments

16 pages, revised version, to appear in "Calc.Var.Partial Diff. Equ."