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Holomorphic mappings into a compact quotient of symmetric bounded domain

Published online by Cambridge University Press:  22 January 2016

Toshikazu Sunada
Toshikazu Sunada*
Affiliation:
University of Tokyo
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In this paper, we shall be concerned with the finiteness property of certain holomorphic mappings into a compact quotient of symmetric bounded domain.

Let be a symmetric bounded domain in n-dimensional complex Euclidean space Cn and Γ\ be a compact quotient of S by a torsion free discrete subgroup Γ of automorphism group of . Further, we denote by l() the maximum value of dimension of proper boundary component of , which is less than n (=dim).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 64 , December 1976 , pp. 159 - 175
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

[1] Douady, A.: Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné, Ann. Inst. Fourier, Grenoble 16 (1966), 1–95.Google Scholar
[2] Goldberg, S. I. and Kobayashi, S.: Holomorphic bisectional curvature, J. Differential Geometry 1 (1967), 225–233.Google Scholar
[3] Helgason, S.: Differential Geometry and Symmetric Spaces, New York, Academic Press (1962).Google Scholar
[4] Harish-Chandra, : Representations of semi-simple Lie group VI, Amer. J. Math. 78 (1956), 564–628.Google Scholar
[5] Kobayashi, S.: Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, 1970.Google Scholar
[6] Kobayashi, S. and Ochiai, T.: Meromorphic mappings onto compact complex spaces of general type, Inventions Math. 31 (1975), 7–16.Google Scholar
[7] Namba, M.: On maximal family of compact complex submanifolds of complex manifolds, Tohoku Math. J. 24 (1972), 581–609.Google Scholar
[8] Patodi, V. K.: An analytic proof of Riemann-Roch-Hirzebruch Theorem for Kaehler manifolds, J. Differential Geometry 5 (1971), 251–283.CrossRefGoogle Scholar
[9] Wolf, J. A.: Fine structure of hermitian symmetric spaces, Symmetric Spaces (short courses presented at Washington University), Marcel Dekker, 1972.Google Scholar