Original Paper

Annals of Global Analysis and Geometry

, Volume 39, Issue 3, pp 259-292

First online:

On Ricci solitons of cohomogeneity one

  • Andrew S. DancerAffiliated withJesus College, Oxford University
  • , McKenzie Y. WangAffiliated withDepartment of Mathematics and Statistics, McMaster University Email author 

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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.


Cohomogeneity one Ricci solitons Non-compact shrinking Kähler Ricci solitons Equidistant hypersurface families Coadjoint orbits

Mathematics Subject Classification (2000)

53C25 53C30 53C44 32Q15 32Q20