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math.DG2022★ 1 cited
Torus stability under Kato bounds on the Ricci curvature
Gilles Carron, Ilaria Mondello, David Tewodrose
We show two stability results for a closed Riemannian manifold whose Ricci curvature is small in the Kato sense and whose first Betti number is equal to the dimension. The first on…
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.AP2022★ 2 cited
Symmetrized and non-symmetrized Asymptotic Mean Value Laplacian in metric measure spaces
Andreas Minne, David Tewodrose
The asymptotic mean value Laplacian - AMV Laplacian - extends the Laplace operator from to metric measure spaces through limits of averaging integrals. The AMV Lapla…