Ricci flatness of certain compact pseudo-Kähler solvmanifolds

DOI10.1016/J.GEOMPHYS.2011.06.006zbMath1239.53100OpenAlexW1972407774MaRDI QIDQ413709

Takumi Yamada

Publication date: 7 May 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.2011.06.006

zbMATH Keywords

Ricci-flatsolvmanifoldpseudo-Kähler manifoldpseudo Calabi-Yau manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

SKT and tamed symplectic structures on solvmanifolds

Cites Work

• Unnamed Item
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• Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds
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• Lattices on Benson-Gordon type solvable Lie groups
• Pseudo-Kähler metrics on six-dimensional nilpotent Lie algebras
• Families of strong KT structures in six dimensions
• Neutral Calabi-Yau structures on Kodaira manifolds
• A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold
• Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
• The moduli space of special Lagrangian submanifolds
• Complex structures on nilpotent Lie algebras

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