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arxiv: 0906.1035 · v2 · submitted 2009-06-05 · 🧮 math.DG

Ricci Flow on 3-dimensional Lie groups and 4-dimensional Ricci-flat manifolds

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keywords dimensionalgroupsricci-flatflowmanifoldsriccicohomogeneityconstruct
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We study relation of the Ricci Flow on 3-dimensional Lie groups and 4-dimensional Ricci-flat manifolds. In particular, we construct Ricci-flat cohomogeneity one metrics with respect to 3-dimensional Lie groups.

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