The symmetric property tau for the Gaussian measure
arXiv:1011.2142
Abstract
We give a proof based on the Poincaré inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santaló inequality, as explained in a paper by Artstein, Klartag and Milman.
10 pages, file might be slightly different from the published version