The classification of three-dimensional homogeneous complex manifold

DOI10.1007/BFb0095837zbMath0823.32017MaRDI QIDQ1842562

Jörg Winkelmann

Publication date: 2 May 1995

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

classificationthree-dimensional homogeneous complex manifolds

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General properties and structure of real Lie groups (22E15) Homogeneous complex manifolds (32M10) Holomorphic bundles and generalizations (32L05) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (16)

Classical symmetries of complex manifolds ⋮ Submaximally symmetric CR-structures ⋮ Homogeneous integrable Legendrian contact structures in dimension five ⋮ On Hermitian manifolds whose Chern connection is Ambrose-Singer ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3 ⋮ On degeneracy of orbits of nilpotent Lie algebras ⋮ On the dimension of a group acting transitively on hypersurfaces in \(\mathbb{C}^3\) ⋮ Homogeneous Levi non-degenerate hypersurfaces in \(\mathbb{C}^3\) ⋮ On the Lichnerowicz conjecture for CR manifolds with mixed signature ⋮ Compact Kähler manifolds with elliptic homotopy type ⋮ Proper actions of high-dimensional groups on complex manifolds ⋮ Proper actions of Lie groups of dimension \(n^{2} + 1\) on \(n\)-dimensional complex manifolds ⋮ On stationary subgroups of compact homogeneous spaces ⋮ On the classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions ⋮ Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$ ⋮ Locally transitive analytic actions of Lie groups on compact surfaces

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