David Tewodrose

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20182026

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math.MG2019

A rigidity result for metric measure spaces with Euclidean heat kernel

Gilles Carron, David Tewodrose

We prove that a metric measure space equipped with a Dirichlet form admitting an Euclidean heat kernel is necessarily isometric to the Euclidean space. This helps us providing an a…

math.MG2018

Embedding of $R C D^{*} (K, N)$ spaces in $L^{2}$ via eigenfunctions

Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies +1

In this paper we study the family of embeddings $Φ_{t}$ of a compact $R C D^{*} (K, N)$ space $(X, d, m)$ into $L^{2} (X, m)$ via eigenmaps. Extending part of the classical results by Bérard, Bé…

A rigidity result for metric measure spaces with Euclidean heat kernel

Embedding of RCD∗(K,N) spaces in L2 via eigenfunctions

Embedding of $R C D^{*} (K, N)$ spaces in $L^{2}$ via eigenfunctions