Holomorphic vector fields and Hodge numbers of compact pseudo-Kähler nilmanifolds

DOI10.1016/j.geomphys.2019.06.008zbMath1425.53061OpenAlexW2951430553MaRDI QIDQ2274433

Takumi Yamada

Publication date: 19 September 2019

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2019.06.008

zbMATH Keywords

nilmanifoldholomorphic vector fieldDolbeault cohomology group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

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• Hodge numbers and invariant complex structures of compact nilmanifolds
• The cohomologies of the Iwasawa manifold and of its small deformations
• Holomorphic vector fields of compact pseudo-Kähler manifolds
• Classification of compact complex homogeneous manifolds with pseudo-Kählerian structures
• A structure theorem of compact complex parallelizable pseudo-Kähler solvmanifolds
• Classification of compact homogeneous pseudo-Kähler manifolds
• A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold
• Complex structures on nilpotent Lie algebras
• Dolbeault cohomology of compact nilmanifolds
• Duality of Hodge numbers of compact complex nilmanifolds

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