The main theorem of this article is a characterization of non compact simply connected complete Kobayashi hyperbolic complex manifold of dimension $n ≥ 2$ with real $n^2$-dimensional holomorphic automorphism group. Together with the earlier work of Isaev and Krantz, this yields a complete classification of the simply-connected, complete Kobayashi hyperbolic manifolds with $dim_R(Aut (M)) ≥ dimC_ (M)^2$.

Complex n-dimensional manifolds with a real n^2-dimensional automorphism group / L. VERDIANI; KIM K.T. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - STAMPA. - 14:(2004), pp. 701-713.

Complex n-dimensional manifolds with a real n^2-dimensional automorphism group

VERDIANI, LUIGI;
2004

Abstract

The main theorem of this article is a characterization of non compact simply connected complete Kobayashi hyperbolic complex manifold of dimension $n ≥ 2$ with real $n^2$-dimensional holomorphic automorphism group. Together with the earlier work of Isaev and Krantz, this yields a complete classification of the simply-connected, complete Kobayashi hyperbolic manifolds with $dim_R(Aut (M)) ≥ dimC_ (M)^2$.
2004
14
701
713
L. VERDIANI; KIM K.T
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/225746
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