Classification of compact homogeneous spaces with invariant symplectic structures

DOI10.1090/S1079-6762-97-00023-1zbMath0883.53045OpenAlexW1516469645MaRDI QIDQ4373828

Zhuang-Dan Guan

Publication date: 22 January 1998

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228986

zbMATH Keywords

classificationproductLie groupsymplectic manifoldsdecompositionssplittingshomogeneous spacecompact manifoldsfiber bundlesmodificationinvariant structureprealgebraic groupuniform discrete subgroupssymplectic algebralocally flat parallelizable manifolds

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lie groups (22E99) Exterior algebra, Grassmann algebras (15A75)

Related Items (3)

Classification of compact complex homogeneous spaces with invariant volumes ⋮ On compact symplectic manifolds with Lie group symmetries ⋮ Classification of compact complex homogeneous spaces with invariant volumes

Cites Work

• Espaces homogenes complexes compacts
• Über kompakte homogene Kählersche Mannigfaltigkeiten
• Classification of compact homogeneous pseudo-Kähler manifolds
• Sur les Espaces Homogènes Kählériens d’un Groupe de Lie Réductif
• On Guan's examples of simply connected non-Kahler compact complex manifolds
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