Walker’s theorem without coordinates
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Publication:3441894
DOI10.1063/1.2209167zbMath1112.53053arXivmath/0603440OpenAlexW3101353668MaRDI QIDQ3441894
Andrzej Derdzinski, Witold Roter
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603440
Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (6)
Non-Walker self-dual neutral Einstein four-manifolds of Petrov type III ⋮ The affine quasi-Einstein equation for homogeneous surfaces ⋮ Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) ⋮ Four-dimensional manifolds with degenerate self-dual Weyl curvature operator ⋮ Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds ⋮ Spin coefficients for four-dimensional neutral metrics, and null geometry
Cites Work
- Unnamed Item
- Walker 4-manifolds with proper almost complex structures
- The holonomy Lie algebras of neutral metrics in dimension four
- Three-dimensional Lorentz manifolds admitting a parallel null vector field
- Curvature properties of four-dimensional Walker metrics
- Normal form of a metric admitting a parallel field of planes
- CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
- CANONICAL FORMS (II): PARALLEL PARTIALLY NULL PLANES
- RIEMANN EXTENSIONS
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