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Hyperplane sections of convex bodies
Authors:Carla Peri
Institution:Università Cattolica, Largo Gemelli, 1, I-20123 Milano, Italy
Abstract:We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in Rn. This leads to a relative isoperimetric inequality for arbitrary hyperplane sections of a convex body.
Keywords:Hyperplane section  Relative isoperimetric inequality  pth moment
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