A Note on the Bergman metric of Bounded homogeneous Domains-Reference-Cited by-同舟云学术

A Note on the Bergman metric of Bounded homogeneous Domains

Published:2007 Issue: Volume:186 Page:157-163
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Kai Chifune,Ohsawa Takeo

Abstract

AbstractWe show that the Bergman metric of a bounded homogeneous domain has a potential function whose gradient has a constant norm with respect to the Bergman metric, and further that this constant is independent of the choice of such a potential function.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. The Bergman metric on hyperconvex domains

2. Bergman completeness of hyperconvex manifolds

3. Hyperbolic Manifolds and Holomorphic Mappings;Kobayashi;An Intro duction, World Sci.,2005

4. Infinite Dimensionality of the Middle $L^2-$cohomology on Non-compact Kähler Hyperbolic Manifolds

5. On the Bergman metric of Siegel domains;Ishi;preprint

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