2 papers
math.DG2014
Ricci flow on Riemannian groupoids
Christian Hilaire
We study the Ricci flow on Riemannian groupoids. We assume that these groupoids are closed and that the space of orbits is compact and connected. We prove the short time existence…
math.DG2012
The Long-Time Behavior of the Ricci Tensor Under The Ricci Flow
Christian Hilaire
We show that, given an immortal solution to the Ricci flow on a closed manifold with uniformly bounded curvature and diameter, the Ricci tensor goes to zero as t goes to infinity.…