Classification of compact homogeneous pseudo-Kähler manifolds

DOI10.1007/BF02566516zbMath0780.53047OpenAlexW2046878964MaRDI QIDQ1209294

Zhuang-Dan Guan, Josef F. Dorfmeister

Publication date: 16 May 1993

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140282

zbMATH Keywords

pseudo-Kähler manifoldsreductive group of automorphisms

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Other complex differential geometry (53C56)

Related Items (18)

Remarks on the signatures of invariant pseudo-Kähler metrics on generalized flag manifolds ⋮ Classification of compact complex homogeneous manifolds with pseudo-Kählerian structures ⋮ Holomorphic vector fields of compact pseudo-Kähler manifolds ⋮ Ricci flatness of certain compact pseudo-Kähler solvmanifolds ⋮ Classification of compact complex homogeneous spaces with invariant volumes ⋮ A structure theorem of compact complex parallelizable pseudo-Kähler solvmanifolds ⋮ On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds ⋮ Classification of compact homogeneous spaces with invariant symplectic structures ⋮ Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds ⋮ Small deformations and non-left-invariant complex structures on six-dimensional compact solvmanifolds ⋮ On compact symplectic manifolds with Lie group symmetries ⋮ Holomorphic vector fields and Hodge numbers of compact pseudo-Kähler nilmanifolds ⋮ Modification and the cohomology groups of compact solvmanifolds ⋮ Invariant pseudo-Kähler metrics on generalized flag manifolds ⋮ A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold ⋮ Killing fields generated by multiple solutions to the Fischer–Marsden equation ⋮ Stability of pseudo-Kähler manifolds and cohomological decomposition ⋮ Classification of compact complex homogeneous spaces with invariant volumes

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