Holomorphic vector fields of compact pseudo-Kähler manifolds

DOI10.1016/j.geomphys.2011.08.001zbMath1236.53014OpenAlexW2009020754MaRDI QIDQ408225

Takumi Yamada

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.08.001

zbMATH Keywords

Weitzenböck formulaholomorphic vector fieldspseudo-Riemannian manifoldspseudo-Kähler manifold

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Killing fields on compact pseudo-Kähler manifolds ⋮ Holomorphic vector fields and Hodge numbers of compact pseudo-Kähler nilmanifolds

Cites Work

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• A construction of compact pseudo-Kähler solvmanifolds with no Kähler structures
• A structure theorem of compact complex parallelizable pseudo-Kähler solvmanifolds
• Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds
• A differential complex for Poisson manifolds
• Classification of compact homogeneous pseudo-Kähler manifolds
• Pseudo-Kähler metrics on six-dimensional nilpotent Lie algebras
• A splitting theorem for compact complex homogeneous spaces with a symplectic structure
• Hodge structure on symplectic manifolds
• Holomorphic vector fields and Kaehler manifolds
• RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS

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