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A geometric inequality on mixed volumes
Authors:Young Do Chai
Affiliation:(1) Department of Mathematics, Sung Kyun Kwan University, 440-746 Suwon, South Korea
Abstract:We develop some geometric inequality for a kind of generalized convex set. The integral of (n – 2)-th mean curvature of the generalized convex set, the mixed volume of the convex hull of the set, and a reference convex set are involved in the inequality.Partially supported by grants from Kosef and BSRI-95-1419.
Keywords:Hyperplane section  quasi-convex  mixed volume  an integral of mean curvature  Minkowski functional
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