English

The isoparametric functions on a class of Finsler spheres

Differential Geometry 2022-05-18 v4

Abstract

In this paper, we give global expressions of geodesics and isoparametric functions on a Randers sphere by navigation. We obtain isoparametric families and focal submanifolds in (S^{n}; F; d\mu_{BH}) by Cartan-M\"unzner polynomials. Further more, we construct some examples of closed and non-closed geodesics, isoparametric functions, isoparametric families and focal submanifolds.

Keywords

Cite

@article{arxiv.2104.01100,
  title  = {The isoparametric functions on a class of Finsler spheres},
  author = {Yali Chen and Qun He},
  journal= {arXiv preprint arXiv:2104.01100},
  year   = {2022}
}

Comments

22 pages,4 figures