Solsolitons associated with graphs
Differential Geometry
2010-08-23 v1
Abstract
We show how to associate with each graph with a certain property (positivity) a family of simply connected solvable Lie groups endowed with left-invariant Riemannian metrics that are Ricci solitons (called solsolitons). We classify them up to isometry, obtaining families depending on many parameters of explicit examples of Ricci solitons. A classification of graphs with up to 3 coherent components according to positivity is also given.
Keywords
Cite
@article{arxiv.1008.3417,
title = {Solsolitons associated with graphs},
author = {Ramiro A. Lafuente},
journal= {arXiv preprint arXiv:1008.3417},
year = {2010}
}
Comments
17 pages, 1 table