4 papers
Multi-resolution deep learning pipeline for dense large scale point clouds
Thomas Richard, Florent Dupont, Guillaume Lavoue
Recent development of 3D sensors allows the acquisition of extremely dense 3D point clouds of large-scale scenes. The main challenge of processing such large point clouds remains i…
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…
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…
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…