Ricci flow on homogeneous spaces with two isotropy summands
Differential Geometry
2012-09-17 v1
Abstract
We consider the Ricci flow equation for invariant metrics on compact and connected homogeneous spaces whose isotropy representation decomposes into two irreducible inequivalent summands. By studying the corresponding dynamical system, we completely describe the behaviour of the homogeneous Ricci flow on this kind of spaces. Moreover, we investigate the existence of ancient solutions and relate this to the existence and non-existence of invariant Einstein metrics.
Keywords
Cite
@article{arxiv.1209.3048,
title = {Ricci flow on homogeneous spaces with two isotropy summands},
author = {Maria Buzano},
journal= {arXiv preprint arXiv:1209.3048},
year = {2012}
}
Comments
30 pages