Lightlike hypersurfaces and canal hypersurfaces of Lorentzian surfaces

DOI10.1155/2014/817154zbMath1474.53101OpenAlexW2128535684WikidataQ59041754 ScholiaQ59041754MaRDI QIDQ1725050

Jianguo Sun, Dong He Pei

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/817154

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Null surfaces of null curves on 3-null cone
• Singularities of lightlike hypersurface in semi-Euclidean 4-space with index 2
• The Lorentzian surfaces in semi-Euclidean 4-space with index 2
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Geometrical particle models on 3D null curves
• Constant scalar curvature and warped product globally null manifolds
• The geometry of surfaces in 4-space from a contact viewpoint
• Singularities of focal surfaces of null Cartan curves in Minkowski 3-space
• Families of Gauss indicatrices on Lorentzian hypersurfaces in pseudo-spheres in semi-Euclidean 4-space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• The Intrinsic Conformal Structure and Gauss Map of a Light-Like Hypersurface in Minkowski Space
• On Generic Composites of Maps
• Singularities of the Gauss map and the binormal surface
• A Remarkable Property of Plane Waves in General Relativity
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