This is an announcement for the paper "Some remarks on transportation inequalities and the slicing problem" by Mark W. Meckes.
Abstract: We show that transportation cost inequalities can be used to derive bounds for isotropic constants of convex bodies. We state a conjecture about transportation costs (and discuss support for it) which would have strong consequences for the slicing problem.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A20; 60E15
Remarks: AMSLaTeX
The source file(s), transport.tex: 21567 bytes, is(are) stored in gzipped form as 0405376.gz with size 7kb. The corresponding postcript file has gzipped size 47kb.
Submitted from: mark@math.stanford.edu
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http://arXiv.org/abs/math.MG/0405376
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