Hyperbolic 2–dimensional manifolds with 3–dimensional automorphism group

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 n 2 1, where n 2.