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Convex sets in Hadamard manifolds

✍ Scribed by A.A. Borisenko

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 93 KB
Volume: 17
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(02)00102-x

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✦ Synopsis

We give sharp upper estimates for the difference circumradius minus inradius and for the angle between the radial vector (respect to the center of an inball) and the normal to the boundary of a compact h, λ-convex domain in the Hadamard manifold. We apply these estimates to get the limit at the infinity for the quotients Volume/Area and (Total k-mean curvature)/Area of a family of h, λ-convex domains which expand over the whole space.

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