Kahler Structures on Compact Solvmanifolds

DOI10.2307/2047955zbMath0689.53036OpenAlexW4243006101MaRDI QIDQ3031576

Carolyn S. Gordon, Chal Benson

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047955

zbMATH Keywords

homogeneous spacesolvmanifoldsKähler structurecohomology ringKähler class

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (19)

Aspherical Kähler manifolds with solvable fundamental group ⋮ Construction of lattices of solvable Lie groups from a viewpoint of matrices ⋮ Remarks on some compact symplectic solvmanifolds ⋮ On classification of compact complex solvmanifolds ⋮ The cohomology of Koszul-Vinberg algebra and related topics ⋮ Locally conformal Kähler structures on compact solvmanifolds ⋮ A construction of lattices on certain solvable Lie groups ⋮ Symmetric and skew-symmetric complex structures ⋮ Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\) ⋮ Novikov homology, jump loci and Massey products ⋮ Kaehlerian reductions in solvable Lie groups and applications ⋮ Exotic smooth structures and symplectic forms on closed manifolds ⋮ Lattices on Benson-Gordon type solvable Lie groups ⋮ Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Vaisman structures on compact solvmanifolds ⋮ Examples of compact Lefschetz solvmanifolds. ⋮ A non-Sasakian Lefschetz $K$-contact manifold of Tievsky type ⋮ A counterexample to Belgun-Moroianu conjecture

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