Isoparametric hypersurfaces in Finsler space forms
Differential Geometry
2020-03-30 v3
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.
Keywords
Cite
@article{arxiv.1709.02892,
title = {Isoparametric hypersurfaces in Finsler space forms},
author = {Qun He and Yali Chen and Songting Yin and Tingting Ren},
journal= {arXiv preprint arXiv:1709.02892},
year = {2020}
}
Comments
22 pages, comments are welcome!