The Ricci flow on solvmanifolds of real type
Differential Geometry
2017-08-23 v2
Abstract
We show that for any solvable Lie group of real type, any homogeneous Ricci flow solution converges in Cheeger-Gromov topology to a unique non-flat solvsoliton, which is independent of the initial left-invariant metric. As an application, we obtain results on the isometry groups of non-flat solvsoliton metrics and Einstein solvmanifolds.
Cite
@article{arxiv.1707.04186,
title = {The Ricci flow on solvmanifolds of real type},
author = {Christoph Böhm and Ramiro A. Lafuente},
journal= {arXiv preprint arXiv:1707.04186},
year = {2017}
}
Comments
18 pages; v2: improved exposition, proofs of main results simplified, appendices are now contained in arXiv:1701.00628v3