This is an announcement for the paper "A note on the Busemann-Petty problem for bodies of certain invariance" by Marisa Zymonopoulou.

Abstract: The Busemann-Petty problem asks whether origin symmetric convex bodies in $\R^n$ with smaller hyperplane sections necessarily have smaller volume. The answer is affirmative if $n\leq 3$ and negative if $n\geq 4.$ We consider a class of convex bodies that have a certain invariance property with respect to their ordered k-tuples of coordinates in $\R^{kn}$ and prove the corresponding problem.

Archive classification: math.FA

The source file(s), kn.tex: 32692 bytes, is(are) stored in gzipped form as 0811.1593.gz with size 10kb. The corresponding postcript file has gzipped size 82kb.

Submitted from: marisa@cwru.edu

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