Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

Mathematics – Complex Variables

Scientific paper

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77 pages

Scientific paper

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 $n\ge 2$.

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