Characterization of a differentiable point of the distance function to the cut locus

Minoru TANAKA

Source record

Source: Crossref

Published: Jan 1, 2003

DOI: 10.2969/jmsj/1196890851

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Source abstract

We give a necessary and sufficient condition for a given point on the unit normal bundle of a closed submanifold N of a 2-dimensional complete Riemannian manifold M to be a differentiable point of the distance function to the cut locus of N.

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