On Ricci solitons of cohomogeneity one
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- 作者：Andrew S. Dancer (1) dancer@maths.ox.ac.uk
McKenzie Y. Wang (2) wang@mcmaster.ca - 关键词：Cohomogeneity one Ricci solitons – ; Non ; compact shrinking K盲hler Ricci solitons – ; Equidistant hypersurface families – ; Coadjoint orbits
- 刊名：Annals of Global Analysis and Geometry
- 出版时间：March 2011
- 出版年：2011
- 期刊代码：3_0232704X
- 类别：ch
- 卷：39
- 期：3
- 页码：259-292
- 数据来源：sp
摘要
We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ans盲tze of cohomogeneity one to produce new explicit examples of complete K盲hler Ricci solitons of expanding, steady and shrinking types. These solitons are foliated by hypersurfaces which are circle bundles over a product of Fano K盲hler–Einstein manifolds or over coadjoint orbits of a compactly connected semisimple Lie group.