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math.FA2020
Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel
Mathias Braun
We study the canonical heat flow on the cotangent module over an space , $K\in\boldsymb…
math.PR2020
Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature
Mathias Braun, Batu Güneysu
We prove that if the Ricci tensor of a geodesically complete Riemannian manifold , endowed with the Riemannian distance and the Riemannian measure $\…