Lightlike hypersurfaces along spacelike submanifolds in de Sitter space

DOI10.5427/jsing.2014.10jzbMath1310.53050OpenAlexW2332249227MaRDI QIDQ2941107

Takami Sato, Shyuichi Izumiya

Publication date: 22 January 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/386ebf328e4eb0aa7834888604206e46257a3767

zbMATH Keywords

Legendrian singularitiesde Sitter lightcones

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Theory of singularities and catastrophe theory (58K99)

Related Items (1)

The theory of graph-like Legendrian unfoldings and its applications

Cites Work

• Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time
• Spacelike submanifolds of codimension two in de Sitter space
• Lagrangian and Legendrian singularities
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• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
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• On singularities of submanifolds of higher dimensional Euclidean spaces
• The lightcone Gauss map of a spacelike surface in Minkowski 4-space
• TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF A HORIZON
• The holographic principle
• SPACELIKE SUBMANIFOLDS IN DE SITTER SPACE
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• The Eikonal equation in flat space: Null surfaces and their singularities. I
• The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
• THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE

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