Isoparametric functions on Finsler space forms
Differential Geometry
2025-08-27 v3
Abstract
In this paper, we prove that transnormal functions are isoparametric functions on Finsler space forms (N(c), F) under certain conditions, which generalize Theorem B given by Q.M. Wang in Riemannian case. Next, we discuss the relationship between umbilic hypersurfaces and isoparametric hypersurfaces in (N(c), F). Further more, we construct a locally isoparametric function by a distance function and give a global isoparametric function on a standard Finsler sphere.
Cite
@article{arxiv.2212.07625,
title = {Isoparametric functions on Finsler space forms},
author = {Yali Chen and Qun He},
journal= {arXiv preprint arXiv:2212.07625},
year = {2025}
}
Comments
15 pages