Geometry & Topology 12 (2008) 643–711

DOI: 10.2140/gt.2008.12.643

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

Primary: 32M05, 32Q45

References

Publication

Received: 17 November 2006
Accepted: 19 January 2008
Published: 12 May 2008
Proposed: Yasha Eliashberg
Seconded: Walter Neumann, Leonid Polterovich

Authors