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The Bergman metric on a Thullen domain

Published online by Cambridge University Press:  22 January 2016

Kazuo Azukawa
Affiliation:
Department of Mathematics, Toyama University Gofiiku, Toyama, Japan
Masaaki Suzuki
Affiliation:
Department of Mathematics, Toyama University Gofiiku, Toyama, Japan
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In this paper we shall study the holomorphic sectional curvature of the Bergman metric on a domain

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

[ 1 ] Fourier, J., Analyse des equations determinees, Ostwald’s Klassiker, No. 127, 1831.Google Scholar
[ 2 ] Ise, M., On Thullen domains and Hirzeburch manifolds I, J. Math. Soc. Japan, 26 (1974), 508522.CrossRefGoogle Scholar
[ 3 ] Klembeck, P. F., Kahler metrics of negative curvature, the Bergman metric near the boundary, and the Kobayashi metric on smooth bounded strictly pseudoconvex sets, Indiana Univ. Math. J., 27 (1978), 275282.Google Scholar
[ 4 ] Kobayashi, S., Geometry of bounded domains, Trans. Amer. Math. Soc, 92 (1959), 267290.Google Scholar
[ 5 ] Kobayashi, S., Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970.Google Scholar