A note on conformal connections on lightlike hypersurfaces

DOI10.1090/S1088-4173-07-00148-8zbMath1113.53043arXiv0704.3382MaRDI QIDQ3432093

Cyriaque Atindogbe, Lionel Bérard Bergery

Publication date: 13 April 2007

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3382

zbMATH Keywords

holonomy groupscreen distributionlight-like hypersurfaceconformal connection

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Cites Work

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• On null submanifolds in spacetimes
• Pseudoinversion of degenerate metrics
• Reduction of the codimension for lightlike isotropic submanifolds
• Isometry groups and geodesic foliations of Lorentz manifolds. II: Geometry of analytic Lorentz manifolds with large isometry groups
• Lightlike hypersurfaces on manifolds endowed with a conformal structure of Lorentzian signature
• Remarks on Lorentz symmetric spaces
• Einstein-Weyl structures on compact conformal manifolds
• The Large Scale Structure of Space-Time

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