Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. An isoperimetric comparison theorem
2. [1] Borbély A. , ‘On the total curvature of convex hypersurfaces in hyperbolic spaces’, Proc. Amer. Math. Soc. (to appear).
3. On the Curvatura Integra in a Riemannian Manifold
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1 articles.
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