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math.DG2022
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…
math.DG2020
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…