A splitting theorem for compact complex homogeneous spaces with a symplectic structure
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Publication:1815266
DOI10.1007/BF00148221zbMath0860.53018MaRDI QIDQ1815266
Publication date: 21 April 1997
Published in: Geometriae Dedicata (Search for Journal in Brave)
Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) Homology and cohomology of homogeneous spaces of Lie groups (57T15)
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Classification of compact complex homogeneous manifolds with pseudo-Kählerian structures ⋮ Holomorphic vector fields of compact pseudo-Kähler manifolds ⋮ On classification of compact complex solvmanifolds ⋮ Toward a classification of compact complex homogeneous spaces. ⋮ A structure theorem of compact complex parallelizable pseudo-Kähler solvmanifolds ⋮ Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds ⋮ On compact symplectic manifolds with Lie group symmetries ⋮ Modification and the cohomology groups of compact solvmanifolds ⋮ A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold ⋮ Classification of compact complex homogeneous spaces with invariant volumes
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