Transnormal Functions and Focal Varieties on Finsler Manifolds
Differential Geometry
2022-07-13 v5
Abstract
In this paper, we study transnormal functions and their level sets and focal varieties on complete Finsler manifolds. We prove that the focal varieties of a C2 transnormal function are smooth submanifolds and each regular level set is a tube over either of the focal varieties.
Keywords
Cite
@article{arxiv.2203.09796,
title = {Transnormal Functions and Focal Varieties on Finsler Manifolds},
author = {Yali Chen and Qun He},
journal= {arXiv preprint arXiv:2203.09796},
year = {2022}
}
Comments
20 pages