Journal
JOURNAL OF GEOMETRIC ANALYSIS
Volume 33, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/s12220-022-01184-8
Keywords
Transnormal function; Focal variety; Tube; Submanifold; Morse index
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This paper investigates transnormal functions and their level sets and focal varieties on complete Finsler manifolds. It is proven that the focal varieties of a C-2 transnormal function are smooth submanifolds, and each regular level set is a tube over one of the focal varieties.
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 C-2 transnormal function are smooth submanifolds and each regular level set is a tube over either of the focal varieties.
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