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arXiv · 1305.6169

On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold

Anatoly P. Kopylov·Mikhail V. Korobkov
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Abstract

In the paper we study the properties of a metric function which is the extension by continuity of the intrinsic metric of the interior of a submanifold to its boundary. This approach is the development of the classical intrinsic geometry of surfaces studied by A.D. Alexandrov and his school.

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Anatoly P. Kopylov, Mikhail V. Korobkov. 2014-10-01. On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold. https://arxiv.org/abs/1305.6169

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