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math.DG2017
Poincaré and Brunn--Minkowski inequalities on the boundary of weighted Riemannian manifolds
Alexander V. Kolesnikov, Emanuel Milman
We study a Riemannian manifold equipped with a density which satisfies the Bakry--Émery Curvature-Dimension condition (combining a lower bound on its generalized Ricci curvature an…
math.FA2017★ 27 cited
Local -Brunn-Minkowski inequalities for
Alexander V. Kolesnikov, Emanuel Milman
The -Brunn-Minkowski theory for , proposed by Firey and developed by Lutwak in the 90's, replaces the Minkowski addition of convex sets by its counterpart, in w…