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

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

2009-06-05

arxiv.org/abs/0906.1035v2

Mathematics

Differential Geometry

25 pages

Scientific paper

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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