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An estimate for the total mean curvature in negatively curved spaces
Published online by Cambridge University Press: 17 April 2009
Extract
Let Mn be a nonpositively curved complete simply connected manifold and D ⊂ Mn be a convex compact subset with non-empty interior and smooth boundary. It is shown that the total mean curvature ∂D can be estimated in terms of volume and curvature bound.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 267 - 273
- Copyright
- Copyright © Australian Mathematical Society 2002
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