Comparison of Invariant Metrics
Hyunsuk Kang, Lina Lee, Crystal Zeager
TL;DR
This paper investigates the boundary behavior of the Kobayashi metric on a punctured complex plane and compares the Bergman metric on a ring domain in two complex dimensions to that on a ball.
Contribution
It provides new estimates for the Kobayashi metric near the boundary and offers a comparison between Bergman metrics on different complex domains.
Findings
Boundary behavior of Kobayashi metric estimated
Bergman metric comparison between ring domain and ball
Insights into complex domain metric properties
Abstract
We estimate the boundary behavior of the Kobayashi metric on . We also compare the Bergman metric on the ring domain in to the Bergman metric on the ball.
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
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Meromorphic and Entire Functions