This is an announcement for the paper "From the Brunn-Minkowski inequality to a class of Poincar'e type inequalities" by Andrea Colesanti.

Abstract: 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.

Archive classification: Functional Analysis; Metric Geometry

Mathematics Subject Classification: 52A20; 26D10

Remarks: 9 pages

The source file(s), testo.tex: 21763 bytes, is(are) stored in gzipped form as 0703584.gz with size 7kb. The corresponding postcript file has gzipped size 93kb.

Submitted from: colesant@math.unifi.it

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http://arXiv.org/abs/math.FA/0703584

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