Geodesic
Essential connectedness and the rigidity problem for Gaussian symmetrization
Journal of the European Mathematical Society, Tome 19 (2017) no. 2, pp. 395-439 Cet article a éte moissonné depuis la source EMS Press

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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, and of possible broader interest.
DOI : 10.4171/jems/669
Classification : 49-XX
Keywords: Symmetrization, rigidity, equality cases, Gauss space 
@article{JEMS_2017_19_2_a2,
     author = {Filippo Cagnetti and Maria Colombo and Guido De Philippis and Francesco Maggi},
     title = {Essential connectedness and the rigidity problem for {Gaussian} symmetrization},
     journal = {Journal of the European Mathematical Society},
     pages = {395--439},
     year = {2017},
     volume = {19},
     number = {2},
     doi = {10.4171/jems/669},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/669/}
}
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Filippo Cagnetti; Maria Colombo; Guido De Philippis; Francesco Maggi. Essential connectedness and the rigidity problem for Gaussian symmetrization. Journal of the European Mathematical Society, Tome 19 (2017) no. 2, pp. 395-439. doi: 10.4171/jems/669

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