✦ LIBER ✦

The mean curvature and volume growth of complete noncompact submanifolds

✍ Scribed by Leung-Fu Cheung; Pui-Fai Leung

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 356 KB
Volume: 8
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(98)00010-2

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✦ Synopsis

We show that a complete noncompact submanifold with bounded mean curvature in the Euclidean or hyperbolic space has at least linear volume growth. We apply this to obtain some results on submanifolds of parallel mean curvature.

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