Four-dimensional Walker metrics and symplectic structures

DOI10.1016/j.geomphys.2004.02.009zbMath1078.53070OpenAlexW2028867620MaRDI QIDQ556195

Yasuo Matsushita

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.02.009

zbMATH Keywords

symplectic manifoldsKähler-Einstein manifoldsWalker metrics

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Kähler-Einstein manifolds (32Q20)

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Cites Work

• Unnamed Item
• Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds
• Non-uniqueness of the metric in Lorentzian manifolds
• Indefinite Kähler-Einstein metrics on compact complex surfaces
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• CANONICAL FORMS (II): PARALLEL PARTIALLY NULL PLANES
• Hitchin-Thorpe-type inequalities for pseudo-Riemannian 4-manifolds of metric signature \((++--)\)
• Osserman manifolds in semi-Riemannian geometry

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