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The mean curvature of cylindrically bounded submanifolds

✍ Scribed by Luis J. Alías; G. Pacelli Bessa; Marcos Dajczer


Publisher
Springer
Year
2009
Tongue
English
Weight
162 KB
Volume
345
Category
Article
ISSN
0025-5831

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The mean curvature and volume growth of
✍ 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.