On compact manifolds admitting indefinite metrics with parallel Weyl tensor

DOI10.1016/j.geomphys.2008.03.011zbMath1154.53049arXiv0705.1106OpenAlexW2139238678MaRDI QIDQ950264

Andrzej Derdzinski, Witold Roter

Publication date: 22 October 2008

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

Full work available at URL: https://arxiv.org/abs/0705.1106

zbMATH Keywords

pseudo-Riemannian manifoldsLorentzian manifoldsconformally symmetric spacesmanifolds with parallel Weyl tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (12)

Recurrent conformal 2-forms on pseudo-Riemannian manifolds ⋮ Compact pseudo-Riemannian manifolds with parallel Weyl tensor ⋮ The metric structure of compact rank-one ECS manifolds ⋮ The topology of compact rank-one ECS manifolds ⋮ A Note on Some Generalized Curvature Tensor ⋮ On weakly conformally symmetric pseudo-Riemannian manifolds ⋮ On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity ⋮ On some curvature conditions of pseudosymmetry type ⋮ Curvature properties of Gödel metric ⋮ Analytic continuation, the Chern-Gauss-Bonnet theorem, and the Euler-Lagrange equations in Lovelock theory for indefinite signature metrics ⋮ On almost pseudo conformally symmetric manifolds ⋮ Completeness of compact Lorentzian manifolds with abelian holonomy

Cites Work

• The Gauss-Bonnet theorem for vector bundles
• The local structure of conformally symmetric manifolds
• Holonomy of flat affinely connected manifolds
• Compact pseudo-Riemannian manifolds with parallel Weyl tensor
• Neutral Einstein metrics in four dimensions
• On conformally symmetric Ricci-recurrent spaces
• Characteristic Classes and Weyl Tensor: Applications to General Relativity
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