Coeffective and de Rham cohomologies of symplectic manifolds

DOI10.1016/S0393-0440(97)00084-3zbMath0972.53050OpenAlexW2033551000MaRDI QIDQ1299179

Marisa Fernández, Raúl Ibáñez, Manuel de León

Publication date: 19 October 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(97)00084-3

zbMATH Keywords

deformationssymplectic manifoldcompact Kähler manifoldcoeffective cohomology

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Real-valued functions on manifolds (58C05)

Related Items (6)

Coeffective and de Rham cohomologies on almost contact manifolds ⋮ Extensions of the coeffective complex ⋮ Some differential complexes within and beyond parabolic geometry ⋮ Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds ⋮ Symplectic harmonicity and generalized coeffective cohomologies ⋮ Coeffective cohomology of symplectic aspherical manifolds

Cites Work

• A remarkable symplectic structure
• Pseudo holomorphic curves in symplectic manifolds
• The symplectic structure of Kähler manifolds of non-positive curvature
• The affine group as symplectic manifold
• A Nomizu's theorem for the coeffective cohomology
• Coeffective cohomology on almost cosymplectic manifolds
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Corrigenda to: Introduction to Symplectic Topology
• On the Volume Elements on a Manifold
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