80 citations · 130 across the 30 of their papers we have counts for
32 papers
Kato meets Bakry-Émery
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that any complete Riemannian manifold with negative part of the Ricci curvature in a suitable Dynkin class is bi-Lipschitz equivalent to a finite-dimensional $\mathrm{RCD}…
Boundedness of Schr{ö}dinger operator in energy space
Gilles Carron, Maël Lansade
On a complete weighted Riemannian manifold satisfying the doubling condition and the Poincar{é} inequalities, we characterize the class of function such that the Sc…
The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant
Gilles Carron, Eric Chen, Yi Wang
We study the Yamabe flow on asymptotically flat manifolds with non-positive Yamabe constant . Previous work by the second and third named authors \cite{ChenWang} showed th…
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…
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…
Convergence of the Yamabe flow on singular spaces with positive Yamabe constant
Gilles Carron, Jørgen Olsen Lye, Boris Vertman
In this work, we study the convergence of the normalized Yamabe flow with positive Yamabe constant on a class of pseudo-manifolds that includes stratified spaces with iterated cone…