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A Note on the Bergman metric of Bounded homogeneous Domains

Published online by Cambridge University Press:  11 January 2016

Chifune Kai  and
Takeo Ohsawa
Chifune Kai
Affiliation:
Faculty of Mathematics Kyushu UniversityHigashi-ku 812-8581, Fukuoka Japankai@math.kyushu-u.ac.jp
Takeo Ohsawa
Affiliation:
Graduate School of Mathematics Nagoya UniversityChikusa-ku 464-8602, Nagoya Japanohsawa@math.nagoya-u.ac.jp
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Abstract

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We 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.

Keywords

32M10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 186 , 2007 , pp. 157 - 163
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

References

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