Ricci flow on Riemannian groupoids
Differential Geometry
2015-07-28 v3
Abstract
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 and uniqueness of the Ricci flow on these groupoids. We also define a F-functional and derive the corresponding results for steady breathers on these spaces.
Keywords
Cite
@article{arxiv.1411.6058,
title = {Ricci flow on Riemannian groupoids},
author = {Christian Hilaire},
journal= {arXiv preprint arXiv:1411.6058},
year = {2015}
}
Comments
Corrected typo in title of the first version of paper. In the third version, the uniqueness theorem that we proved is extended to a more general case. Also, the chapter about the 2-dimensional groupoid case has been turned into an appendix