Topology of Kahler Ricci solitons
Ovidiu Munteanu, Jiaping Wang
TL;DR
This paper proves that shrinking and expanding Kahler Ricci solitons under certain conditions have only one end, revealing new topological properties of these geometric structures.
Contribution
It establishes the topological uniqueness of ends in shrinking and expanding Kahler Ricci solitons, a novel result in geometric analysis.
Findings
Shrinking Kahler Ricci solitons have only one end.
Expanding Kahler Ricci solitons with proper potential have only one end.
Abstract
We prove that any shrinking Kahler Ricci soliton has only one end, and that any expanding Kahler Ricci soliton with proper potential has only one end.
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 · Mathematical Dynamics and Fractals