A certain K\"ahler potential of the Poincar\'e metric and its characterization
Young-Jun Choi, Kang-Hyurk Lee, Sungmin Yoo
TL;DR
This paper investigates a specific property of the K"ahler potential associated with the Poincaré metric, demonstrating a rigidity result under the condition of constant length differential.
Contribution
It provides a new characterization of the K"ahler potential of the Poincaré metric based on its differential properties.
Findings
Establishes a rigidity property for the K"ahler potential
Characterizes the potential via constant length differential
Contributes to understanding the geometry of the Poincaré metric
Abstract
We will show a rigidity of a K\"ahler potential of the Poincar\'e metric with a constant length differential.
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 · Advanced Algebra and Geometry