Hyperbolic 2–dimensional manifolds with 3–dimensional automorphism group

Isaev, Alexander V¹

¹ Department of Mathematics, The Australian National University, Canberra, ACT 0200, Australia

Geometry & topology, Tome 12 (2008) no. 2, pp. 643-711.

Résumé

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 $n\ge 2$.

Détail

DOI : 10.2140/gt.2008.12.643

Keywords: Kobayashi-hyperbolic manifolds, holomorphic automorphism groups

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