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arXiv · 2203.09796

Transnormal Functions and Focal Varieties on Finsler Manifolds

Yali Chen·Qun He
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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.

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Yali Chen, Qun He. 2022-03-18. Transnormal Functions and Focal Varieties on Finsler Manifolds. https://arxiv.org/abs/2203.09796

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