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arXiv · 1709.02892

Isoparametric hypersurfaces in Finsler space forms

Qun He·Yali Chen·Songting Yin·Tingting Ren
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Abstract

In this paper, we study isoparametric hypersurfaces in Finsler space forms by investigating focal points, tubes and parallel hypersurfaces of submanifolds. We prove that the focal submanifolds of isoparametric hypersurfaces are anisotropic-minimal and obtain the Cartan-type formula in a Finsler space form with vanishing reversible torsion, from which we give some classifications on the number of distinct principal curvatures or their multiplicities.

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Qun He, Yali Chen, Songting Yin, Tingting Ren. 2017-09-09. Isoparametric hypersurfaces in Finsler space forms. https://arxiv.org/abs/1709.02892

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