This is an announcement for the paper "General Lp affine isoperimetric inequalities" by Christoph Haberl and Franz E. Schuster.

Abstract: Sharp Lp affine isoperimetric inequalities are established for the entire class of Lp projection bodies and the entire class of Lp centroid bodies. These new inequalities strengthen the Lp Petty projection and the Lp Busemann--Petty centroid inequality.

Archive classification: math.DG math.FA

Mathematics Subject Classification: 52A40; 52A39

The source file(s), Lpaffine.tex: 76896 bytes, is(are) stored in gzipped form as 0809.1995.gz with size 20kb. The corresponding postcript file has gzipped size 116kb.

Submitted from: franz.schuster@tuwien.ac.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0809.1995

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http://arXiv.org/abs/0809.1995

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uget 0809.1995

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