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arxiv: 1707.04186 · v2 · pith:MJQZRBARnew · submitted 2017-07-13 · 🧮 math.DG

The Ricci flow on solvmanifolds of real type

classification 🧮 math.DG
keywords flownon-flatrealriccisolvmanifoldssolvsolitontypeapplication
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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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