On almost complex structures which are not compatible with symplectic forms

DOI10.1016/j.crma.2011.01.002zbMath1216.32017OpenAlexW2088971469MaRDI QIDQ533981

Luigi Vezzoni

Publication date: 10 May 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.01.002

zbMATH Keywords

symplectic formalmost complex structurelocal symplectic property

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Almost complex manifolds (32Q60)

Cites Work

• Submanifolds and special structures on the octonians
• Complex analytic coordinates in almost complex manifolds
• Strictly nearly Kähler 6-manifolds are not compatible with symplectic forms
• On the geometry of almost complex 6-manifolds
• Holomorphic curves in symplectic geometry
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• The singular set of 1-1 integral currents
• Some examples of non calibrable almost complex structures
• The singular set of J-holomorphic maps into projective algebraic varieties

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