Bergman metric on the symmetrized bidisk and its consequences

Gunhee Cho; Yuan Yuan

doi:10.1142/S0129167X22500719

Bergman metric on the symmetrized bidisk and its consequences

Gunhee Cho, Yuan Yuan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

On the symmetrized bidisk G2 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.

Original language	English (US)
Article number	2250071
Journal	International Journal of Mathematics
Volume	33
Issue number	10-11
DOIs	https://doi.org/10.1142/S0129167X22500719
State	Published - Sep 15 2022

Keywords

Bergman metric
holomorphic bisectional curvature
holomorphic sectional curvature
symmetrized bidisk

ASJC Scopus subject areas

General Mathematics

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10.1142/S0129167X22500719

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title = "Bergman metric on the symmetrized bidisk and its consequences",

abstract = "On the symmetrized bidisk G2 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.",

keywords = "Bergman metric, holomorphic bisectional curvature, holomorphic sectional curvature, symmetrized bidisk",

author = "Gunhee Cho and Yuan Yuan",

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T1 - Bergman metric on the symmetrized bidisk and its consequences

AU - Cho, Gunhee

AU - Yuan, Yuan

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AB - On the symmetrized bidisk G2 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.

KW - Bergman metric

KW - holomorphic bisectional curvature

KW - holomorphic sectional curvature

KW - symmetrized bidisk

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JO - International Journal of Mathematics

JF - International Journal of Mathematics

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Bergman metric on the symmetrized bidisk and its consequences

Abstract

Keywords

ASJC Scopus subject areas

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