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arXiv · 1707.04186

The Ricci flow on solvmanifolds of real type

Christoph Böhm·Ramiro A. Lafuente
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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.

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Christoph Böhm, Ramiro A. Lafuente. 2017-07-13. The Ricci flow on solvmanifolds of real type. https://arxiv.org/abs/1707.04186

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