We present an argument which leads from the Brunn–Minkowski inequality to a Poincar´e-type inequality on the boundary of a convex body K with smooth boundary and everywhere positive Gauss curvature.
From the Brunn-Minkowski inequality to a class of Poincare' type inequalities / A. COLESANTI. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 10 (5):(2008), pp. 765-772. [10.1142/S0219199708002971]
From the Brunn-Minkowski inequality to a class of Poincare' type inequalities
COLESANTI, ANDREA
2008
Abstract
We present an argument which leads from the Brunn–Minkowski inequality to a Poincar´e-type inequality on the boundary of a convex body K with smooth boundary and everywhere positive Gauss curvature.
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