Euclidean heat kernel rigidity

Abstract: This is joint work with David Tewodrose (Cergy). I will explain that a metric measure space with Euclidean heat kernel are Euclidean. An almost rigidity result comes then for free, and this can be used to give another proof of Colding's almost rigidity for complete manifold with non negative Ricci curvature and almost Euclidean growth.

differential geometrymetric geometry

Audience: researchers in the topic

( paper )

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mms&convergence

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