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Stability of complete noncompact surfaces with constant mean curvature

โœ Scribed by Alexandre M. da Silveira


Publisher
Springer
Year
1987
Tongue
English
Weight
460 KB
Volume
277
Category
Article
ISSN
0025-5831

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The mean curvature and volume growth of
โœ Leung-Fu Cheung; Pui-Fai Leung ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 356 KB

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.