New formulas for the Laplacian of distance functions and applications

The goal of the paper is to prove an exact representation formula for the Laplacian of the distance (and more generally for an arbitrary 1-Lipschitz function) in the framework of metric measure spaces satisfying Ricci curvature lower bounds in a synthetic sense (more precisely in essentially non-bra...

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Bibliographic Details
Main Authors: Cavalletti, F, Mondino, A
Format: Journal article
Language:English
Published: Mathematical Sciences Publishers 2020