Self-dual Walker metrics with a two-step nilpotent Ricci operator

DOI10.1016/j.geomphys.2006.02.007zbMath1115.53014OpenAlexW2014326621MaRDI QIDQ856765

N. E. Zubov

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.02.007

zbMATH Keywords

Einstein metricstwistor spacesWalker metricsself-dual metrics

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS ⋮ A spinor approach to Walker geometry ⋮ Hermitian-Walker 4-manifolds ⋮ Curvature models of conformally flat Walker (2,2)-manifolds ⋮ Harmonicity of proper almost complex structures on Walker 4-manifolds

Cites Work

• Isotropic Kähler hyperbolic twistor spaces
• Indefinite Kähler-Einstein metrics on compact complex surfaces
• Isotropic Kähler structures on Engel 4-manifolds
• Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators
• Walker 4-manifolds with proper almost complex structures
• The holonomy Lie algebras of neutral metrics in dimension four
• Curvature properties of four-dimensional Walker metrics
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• Hitchin-Thorpe-type inequalities for pseudo-Riemannian 4-manifolds of metric signature \((++--)\)

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