实型solvmanifold上的Ricci流
微分几何
2017-08-23 v2
摘要
我们证明，对于任意实型可解李群，任意齐次Ricci流解在Cheeger-Gromov拓扑下收敛到一个唯一的非平坦solvsoliton，该解与初始的左不变度量无关。作为应用，我们获得了非平坦solvsoliton度量和Einstein solvmanifold的等距群的结果。
引用
@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}
}
备注
18 pages; v2: improved exposition, proofs of main results simplified, appendices are now contained in arXiv:1701.00628v3