Essential connectedness and the rigidity problem for Gaussian symmetrization
Analysis of PDEs
2013-04-17 v1
Abstract
We provide a geometric characterization of rigidity of equality cases in Ehrhard's symmetrization inequality for Gaussian perimeter. This condition is formulated in terms of a new measure-theoretic notion of connectedness for Borel sets, inspired by Federer's definition of indecomposable current.
Cite
@article{arxiv.1304.4527,
title = {Essential connectedness and the rigidity problem for Gaussian symmetrization},
author = {Filippo Cagnetti and Maria Colombo and Guido De Philippis and Francesco Maggi},
journal= {arXiv preprint arXiv:1304.4527},
year = {2013}
}
Comments
38 pages