6 papers
Limits of manifolds with a Kato bound on the Ricci curvature. II
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that metric measure spaces obtained as limits of closed Riemannian manifolds with Ricci curvature satisfying a uniform Kato bound are rectifiable. In the case of a non-col…
Weighted Sobolev Inequalities in CD(0,N) spaces
David Tewodrose
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0,N) spaces satisfying a suitable growth condition, extending to possibly non-smooth and non-Riemannia…
A survey on spectral embeddings and their applications in data analysis
David Tewodrose
The aim of this survey is to present some aspects of the Bérard-Besson-Gallot spectral embeddings of a closed Riemannian manifold from their origins in Riemannian geometry to more…
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…
Asymptotic Mean Value Laplacian in Metric Measure Spaces
Andreas Minne, David Tewodrose
We use the mean value property in an asymptotic way to provide a notion of a pointwise Laplacian, called AMV Laplacian, that we study in several contexts including the Heisenberg g…
Embedding of spaces in via eigenfunctions
Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies +1
In this paper we study the family of embeddings of a compact space into via eigenmaps. Extending part of the classical results by Bérard, Bé…