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Curvature estimate for the volume growth of globally minimal submanifolds

✍ Scribed by Lê Hông Vân

Publisher
Springer
Year
1993
Tongue
English
Weight
899 KB
Volume
296
Category
Article
ISSN
0025-5831

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📜 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 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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.