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arXiv · 2402.06486

On the equivalence of distributional and synthetic Ricci curvature lower bounds

Andrea Mondino·Vanessa Ryborz
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Abstract

The goal of the paper is to prove the equivalence of distributional and synthetic Ricci curvature lower bounds for a weighted Riemannian manifold with continuous metric tensor having Christoffel symbols in $L^2_{{\rm loc}}$, and with weight in $C^0\cap W^{1,2}_{{\rm loc}}$.

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Andrea Mondino, Vanessa Ryborz. 2024-02-09. On the equivalence of distributional and synthetic Ricci curvature lower bounds. https://arxiv.org/abs/2402.06486

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