The Lorentzian surfaces in semi-Euclidean 4-space with index 2

DOI10.1016/j.jmaa.2011.06.037zbMath1227.53021OpenAlexW2045537915WikidataQ125894114 ScholiaQ125894114MaRDI QIDQ641575

Jianguo Sun, Qi Wang, Lingling Kong, Dong He Pei

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.037

zbMATH Keywords

Lorentzian surfacelight-like torus Gauss mapLorentzian light-like torus height function

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Singularity analysis of Lorentzian hypersurfaces on pseudo n‐spheres ⋮ Null Cartan Bertrand curves of \(AW(k)\)-type in Minkowski 4-space ⋮ Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ Lightlike hypersurfaces and canal hypersurfaces of Lorentzian surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Singularities of lightlike hypersurface in semi-Euclidean 4-space with index 2
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space
• On contact between submanifolds
• Stability of caustics
• Lagrangian and Legendrian singularities
• Singularities of lightlike hypersurfaces in Minkowski four-space
• On Generic Composites of Maps
• The existence of sextactic points
• Umbilicity of space-like submanifolds of Minkowski space