On Ricci solitons of cohomogeneity one
Andrew S. Dancer, Mckenzie Y. Wang

TL;DR
This paper investigates cohomogeneity one Ricci solitons, deriving new explicit examples of complete Kahler Ricci solitons of various types, characterized by specific geometric foliations involving circle bundles and Fano manifolds.
Contribution
It introduces new explicit examples of complete Kahler Ricci solitons using cohomogeneity one ansatze, expanding the known classes of such solitons.
Findings
Constructed explicit examples of complete Kahler Ricci solitons
Classified solitons as expanding, steady, and shrinking types
Described geometric structures involving circle bundles over Fano manifolds
Abstract
We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansatze of cohomogeneity one type to produce new explicit examples of complete Kahler Ricci solitons of expanding, steady and shrinking types. These solitons are foliated by hypersurfaces which are circle bundles over a product of Fano Kahler-Einstein manifolds or over coadjoint orbits of a compact connected semisimple Lie group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research
