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math.DG2020
On the 2-systole of stretched enough positive scalar curvature metrics on S 2 x S 2
Thomas Richard
We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of S 2 x { * } in a S 2 x S 2 with a positive scalar curvature metric…
math.DG2018
Stratified spaces and synthetic Ricci curvature bounds
J. Bertrand, C Ketterer, Ilaria Mondello +1
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K R on the regular s…
math.DG2018
Stability of nonnegative isotropic curvature under continuous deformations of the metric
Thomas Richard
Using a method introduced by R. Bamler to study the behavior of scalar curvature under continuous deformations of Riemannian metrics, we prove that if a sequence of smooth Riemanni…