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arXiv · 2210.12937

Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces

Peilong Dong·Yali Chen
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Abstract

In this paper, we study the relationship between isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces. We give some examples of isoparametric hypersurfaces with (non)constant principal curvatures on Randers manifolds with nonconstant flag curvatures. Furthermore, we construct an example of a conformally flat Randers manifold which admits a family of nonisoparametric hyperplanes with constant principal curvatures.

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Peilong Dong, Yali Chen. 2022-10-24. Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces. https://arxiv.org/abs/2210.12937

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