Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

Alexander V. Isaev

doi:10.2140/gt.2008.12.643

Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

Alexander V. Isaev

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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.

Original language	English
Pages (from-to)	643-711
Number of pages	69
Journal	Geometry and Topology
Volume	12
Issue number	2
DOIs	https://doi.org/10.2140/gt.2008.12.643
Publication status	Published - 2008

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10.2140/gt.2008.12.643

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AB - 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.

KW - Holomorphic automorphism groups

KW - Kobayashi-hyperbolic manifolds

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DO - 10.2140/gt.2008.12.643

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Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

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