Integral geometry and geometric inequalities in hyperbolic space |
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Authors: | Eduardo Gallego |
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Affiliation: | Departament de Matemàtiques, Campus de la UAB, Edifici Cc, 08193 Bellaterra, Spain |
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Abstract: | Using results from integral geometry, we find inequalities involving mean curvature integrals of convex hypersurfaces in hyperbolic space. Such inequalities generalize the Minkowski formulas for euclidean convex sets. |
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Keywords: | primary, 52A55, 53C65 secondary, 60D05 |
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