Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time

DOI10.1016/j.geomphys.2013.03.005zbMath1281.53023OpenAlexW2035646715MaRDI QIDQ390926

Shyuichi Izumiya, Takami Sato

Publication date: 9 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.03.005

zbMATH Keywords

singularitiesspace-like submanifoldlight-like hypersurfacelightconeLorentz-Minkowski space

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Critical points of functions and mappings on manifolds (58K05)

Related Items

Curves in a spacelike hypersurface in Minkowski space-time, Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time, Lightlike hypersurfaces along spacelike submanifolds in de Sitter space, Topological structures of event horizons along framed null Cartan curves in Minkowski space, Recognizable classification of Lorentzian distance-squared mappings, Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space, The theory of graph-like Legendrian unfoldings and its applications, Notes on the lightlike hypersurfaces along spacelike submanifolds, Lightlike flat geometry of spacelike submanifolds in Lorentz–Minkowski space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of caustics
• Lagrangian and Legendrian singularities
• Topological stability of smooth mappings
• Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space
• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
• The horospherical geometry of surfaces in hyperbolic 4-space
• Singularities of lightlike hypersurfaces in Minkowski four-space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• The normal singularities of a submanifold
• The lightcone Gauss map of a spacelike surface in Minkowski 4-space
• Total absolute horospherical curvature of submanifolds in hyperbolic space
• The holographic principle
• On the Total Curvature of Immersed Manifolds
• Generic Deformations of Varieties
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE
• The Eikonal equation in flat space: Null surfaces and their singularities. I
• Umbilicity of space-like submanifolds of Minkowski space
• The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
• THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE