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Complete noncompact Alexandrov spaces of nonnegative curvature

✍ Scribed by Katsuhiro Shiohama

Publisher
Springer
Year
1993
Tongue
English
Weight
462 KB
Volume
60
Category
Article
ISSN
0003-889X

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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.