Volume 12, issue 2 (2008)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Hyperbolic $2$–dimensional manifolds with $3$–dimensional automorphism group

Alexander V Isaev

Geometry & Topology 12 (2008) 643–711
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.

Keywords
Kobayashi-hyperbolic manifolds, holomorphic automorphism groups
Mathematical Subject Classification 2000
Primary: 32Q45, 32M05
References
Publication
Received: 17 November 2006
Accepted: 19 January 2008
Published: 12 May 2008
Proposed: Yasha Eliashberg
Seconded: Walter Neumann, Leonid Polterovich
Authors
Alexander V Isaev
Department of Mathematics
The Australian National University
Canberra, ACT 0200
Australia
http://www.maths.anu.edu.au/~isaev