Classification of compact complex homogeneous spaces with invariant volumes
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Publication:3151240
DOI10.1090/S0002-9947-02-03102-1zbMath1050.53033OpenAlexW1901104959MaRDI QIDQ3151240
Publication date: 7 October 2002
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03102-1
classificationhomogeneous spacesdiscrete subgroupscomplex manifoldsfiber bundlesinvariant volumeparallelisable manifolds
Differential geometry of homogeneous manifolds (53C30) Complex Lie groups, group actions on complex spaces (32M05) Other complex differential geometry (53C56) Homogeneous complex manifolds (32M10) (G)-structures (53C10)
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Cites Work
- Density properties of complex Lie groups
- The fundamental conjecture for homogeneous Kähler manifolds
- Espaces homogenes complexes compacts
- Über kompakte homogene Kählersche Mannigfaltigkeiten
- Fine structure of reductive pseudo-Kählerian spaces
- Pseudo-Kählerian homogeneous spaces admitting a reductive transitive group of automorphisms
- Classification of compact homogeneous pseudo-Kähler manifolds
- A splitting theorem for compact complex homogeneous spaces with a symplectic structure
- Über kompakte homogene komplexe Mannigfaltigkeiten
- Sur La Forme Hermitienne Canonique Des Espaces Homogenes Complexes
- A Fibering of a Class of Homogeneous Complex Manifolds
- Sur les Espaces Homogènes Kählériens d’un Groupe de Lie Réductif
- ALGEBRAIC GROUPS AND CO-COMPACT SUBGROUPS OF COMPLEX LINEAR GROUPS
- Complex analytic geometry of complex parallelizable manifolds
- Classification of compact homogeneous spaces with invariant symplectic structures
- Classification of compact complex homogeneous spaces with invariant volumes
- On Compact Complex Coset Spaces of Reductive Lie Groups
- On the triangulation of manifolds and the Hauptvermutung
- Introduction to Lie Algebras and Representation Theory
- Closed Manifolds with Homogeneous Complex Structure
- Complex Parallisable Manifolds
- Kählerian Coset Spaces of Semisimple Lie Groups
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