Comparison Theorems on Convex Hypersurfaces in Hadamard Manifolds |
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| Authors: | Alexandr A. Borisenko Vicente Miquel |
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| Affiliation: | (1) Geometry Department, Math.-Mech. Faculty, Kharkov National University, Pl. Svobodu 4, 61007 Kharkov, Ukraine;(2) Departamento de Geometría y Topología, Universidad de Valencia, 46100 Burjasot (Valencia), Spain |
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| Abstract: | ![]()
In a Hadamard manifold with sectional curvaturebounded from below by –k22, we give sharp upper estimates for the difference circumradius minus inradiusof a compact k2-convex domain, and we getalso estimates for the quotient (Total d-mean curvature)/Area of a convex domain. |
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| Keywords: | circumradius convex domain Hadamard manifold hyperbolic space inradius k-th curvature |
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