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arXiv · 1903.00330

Isoparametric hypersurfaces in Randers space forms

Qun He·Peilong Dong·Songting Yin
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Abstract

In this paper, we discuss anisotropic submanifolds and isoparametric hypersurfaces in a Randers space form (N,F) with the navigation datum (h,W). We find that (N, F) with respect to the BH-volume and (N,h) have the same isoparametric hypersurfaces although, in general, their isoparametric functions are different. This implies that the classification of isoparametric hypersurfaces in a Randers space form is the same as that in Riemannian case. Lastly, we give some examples of isoparametric functions in Randers space forms.

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Qun He, Peilong Dong, Songting Yin. 2019-02-28. Isoparametric hypersurfaces in Randers space forms. https://arxiv.org/abs/1903.00330

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