Fine structure of reductive pseudo-Kählerian spaces

DOI10.1007/BF00150759zbMath0739.53040OpenAlexW2062357108MaRDI QIDQ1176092

Zhuang-Dan Guan, Josef F. Dorfmeister

Publication date: 25 June 1992

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00150759

zbMATH Keywords

parabolic subgroupsautomorphismscoadjoint orbitssemisimple Lie groupreductive grouppseudo-Kählerian manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (9)

On the dimensions of vector spaces concerning holomorphic vector bundles over elliptic orbits ⋮ Classification of compact complex homogeneous spaces with invariant volumes ⋮ The coarse orbit types of non-Kählerian, symplectic homogeneous spaces whose transformation groups are non-compact simple and isotropy subgroups are compact ⋮ Toward a classification of compact complex homogeneous spaces. ⋮ Generalising \(G_2\) geometry: involutivity, moment maps and moduli ⋮ Hyperbolicity outside a compact set and homogeneous spaces ⋮ Affine compact almost-homogeneous manifolds of cohomogeneity one ⋮ Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. II ⋮ Classification of compact complex homogeneous spaces with invariant volumes

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