On Ricci solitons of cohomogeneity one

Journal article

We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansätze of cohomogeneity one to produce new explicit examples of complete Kähler Ricci solitons of expanding, steady and shrinking types. These solitons are foliated by hypersurfaces which are circle bundles over a product of Fano Kähler-Einstein manifolds or over coadjoint orbits of a compactly connected semisimple Lie group. © 2010 Springer Science+Business Media B.V.

Authors: Dancer, A; Wang, M

• Journal: Annals of Global Analysis and Geometry
• Volume: 39
• Issue: 3
• Pages: 259-292
• Publication date: 2011-03-01
• DOI: 10.1007/s10455-010-9233-1
• EISSN: 1572-9060
• ISSN: 0232-704X
• Language: English
• Keywords: Cohomogeneity one Ricci solitons; Non-compact shrinking Kähler Ricci solitons; Coadjoint orbits; Equidistant hypersurface families