Rigidity of the Euclidean heat kernel

Abstract: It is a joint work with David Tewodrose (Bruxelles) arxiv.org/abs/1912.10759. I will explain that a metric measure space with Euclidean heat kernel is 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 geometry

Audience: researchers in the topic

B.O.W.L Geometry Seminar