Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group

DOI10.2140/gt.2008.12.643zbMath1143.32016arXivmath/0509030OpenAlexW2014339224MaRDI QIDQ2426847

Alexander Isaev

Publication date: 14 May 2008

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509030

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (14)

AUTOMORPHISMS OF THE HARTOGS TYPE DOMAINS OVER CLASSICAL SYMMETRIC DOMAINS ⋮ Classical symmetries of complex manifolds ⋮ On the geometry of the symmetrized bidisc ⋮ On special forms of holomorphic automorphisms of domains in complex two-space ⋮ Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group ⋮ Proper actions of high-dimensional groups on complex manifolds ⋮ Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension ⋮ Automorphism group actions in complex analysis ⋮ Proper actions of Lie groups of dimension \(n^{2} + 1\) on \(n\)-dimensional complex manifolds ⋮ Degenerate hypersurfaces with a two-parametric family of automorphisms ⋮ A characterization of the bidisc by a subgroup of its automorphism group ⋮ A characterization of domains in \(\mathbf C^{2}\) with noncompact automorphism group ⋮ On the Kobayashi hyperbolicity of certain tube domains ⋮ Hyperbolic manifolds with high-dimensional automorphism group

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