Solsolitons associated with graphs

Details Solsolitons associated with graphs Solsolitons associated with graphs

2010-08-20

arxiv.org/abs/1008.3417v1

Mathematics

Differential Geometry

17 pages, 1 table

Scientific paper

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.

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