Bergman metric on the symmetrized bidisk and its consequences-Reference-Cited by-同舟云学术

Bergman metric on the symmetrized bidisk and its consequences

Published:2022-09-15 Issue:10n11 Volume:33 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Cho Gunhee¹^ORCID,Yuan Yuan²

Affiliation:

1. Department of Mathematics, University of California, Santa Barbara, 552 University Rd, Isla Vista, CA 93117, USA

2. Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA

Abstract

On the symmetrized bidisk [Formula: see text] with the Bergman metric, the holomorphic sectional curvature is negatively pinched and the holomorphic bisectional curvature is not. The consequences of invariant metrics are provided.

Funder

Division of Mathematical Sciences

Simons Foundation

Syracuse University

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X22500719

Reference27 articles.

1. Algebraic and geometric aspects of rational Γ-inner functions

2. A Schwarz Lemma for the Symmetrized Bidisc

3. The hyperbolic geometry of the symmetrized bidisc

4. Estimates of invariant metrics on pseudoconvex domains of dimension two

5. L regularity of the Bergman projection on domains covered by the polydisc

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1. Equivalence of invariant metrics via Bergman kernel on complete noncompact Kähler manifolds;Mathematische Annalen;2023-10-26

2. Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature;Complex Analysis and its Synergies;2023-06