From the Brunn-Minkowski inequality to a class of Poincar\'e type inequalities
classification
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math.MG
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inequalityboundarybrunn-minkowskitypeargumentbodiesclassconvex
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We present an argument which leads from the Brunn-Minkowski inequality to a Poincare' type inequality on the boundary of convex bodies with smooth boundary and positive Gauss curvature
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