Isoparametric hypersurfaces in Randers space forms
Differential Geometry
2020-04-14 v5
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.
Cite
@article{arxiv.1903.00330,
title = {Isoparametric hypersurfaces in Randers space forms},
author = {Qun He and Peilong Dong and Songting Yin},
journal= {arXiv preprint arXiv:1903.00330},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1709.02892