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The Total Mean Curvature of a Complete Noncompact Surface of Nonnegative Curvature in R3

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

Book ID
110219635
Publisher
Springer
Year
1998
Tongue
English
Weight
33 KB
Volume
72
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

The mean curvature and volume growth of
The mean curvature and volume growth of complete noncompact submanifolds
✍ Leung-Fu Cheung; Pui-Fai Leung πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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.