Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

Isaev, Alexander

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Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

Date

2008

Authors

Isaev, Alexander

Publisher

University of Warwick

Abstract

In this paper we determine all Kobayashi-hyperbolic 2-dimensional complex manifolds for which the group of holomorphic automorphisms has dimension 3. This work concludes a recent series of papers by the author on the classification of hyperbolic n-dimensional manifolds, with automorphism group of dimension at least n2-1, where n≥ 2.