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arXiv · 2104.01100

The isoparametric functions on a class of Finsler spheres

Yali Chen·Qun He
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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.

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Yali Chen, Qun He. 2021-04-02. The isoparametric functions on a class of Finsler spheres. https://arxiv.org/abs/2104.01100

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