Immortal solutions of the K\"ahler-Ricci flow
Valentino Tosatti
TL;DR
This paper surveys recent advances in understanding solutions to the Kähler-Ricci flow on compact Kähler manifolds that persist for all positive times, highlighting key developments and open questions.
Contribution
It provides a comprehensive overview of the latest results and progress in the study of eternal solutions to the Kähler-Ricci flow.
Findings
Identification of conditions for long-time existence
Classification of eternal solutions in certain cases
Connections to geometric and algebraic properties of manifolds
Abstract
We survey some recent developments on solutions of the K\"ahler-Ricci flow on compact K\"ahler manifolds which exist for all positive times.
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 · Alcohol Consumption and Health Effects