Kahler geometry on toric manifolds, and some other manifolds with large symmetry
S.K. Donaldson
TL;DR
This paper explores Kahler geometry on toric manifolds and other symmetric manifolds, focusing on existence results for Kahler-Ricci solitons and Kahler-Einstein metrics in specific geometric contexts.
Contribution
It provides an exposition on the existence of Kahler-Ricci solitons on toric Fano manifolds and Kahler-Einstein metrics on deformations of the Mukai-Umemura 3-fold, highlighting new existence results.
Findings
Existence of Kahler-Ricci solitons on toric Fano manifolds
Existence of Kahler-Einstein metrics on certain deformations of the Mukai-Umemura 3-fold
Discussion of symmetry properties in Kahler geometry
Abstract
This is an expository article. Among other topics, we discuss the existence of Kahler-Ricci soliton metrics on toric Fano manifolds, and Kahler-Einstein metrics on deformations of the Mukai-Umemura 3-fold
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
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory