Singularities of lightlike hypersurface in semi-Euclidean 4-space with index 2

DOI10.1007/s11425-010-4121-5zbMath1223.58032OpenAlexW2024352021MaRDI QIDQ625957

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

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4121-5

zbMATH Keywords

Lorentzian surfacelightlike hypersurfaceLorentzian distance-squared function

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Critical points of functions and mappings on manifolds (58K05)

Related Items (5)

Singularity analysis of Lorentzian hypersurfaces on pseudo n‐spheres ⋮ The Lorentzian surfaces in semi-Euclidean 4-space with index 2 ⋮ Lightlike hypersurfaces and canal hypersurfaces of Lorentzian surfaces ⋮ Weak finite determinacy of relative map-germs ⋮ Some characterizations of generalized null Mannheim curves in semi-Euclidean space

Cites Work

• Unnamed Item
• Singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space
• On contact between submanifolds
• Lagrangian and Legendrian singularities
• Singularities of lightlike hypersurfaces in Minkowski four-space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• The lightcone Gauss map of a spacelike surface in Minkowski 4-space
• On Generic Composites of Maps
• The existence of sextactic points
• Generic affine differential geometry of space curves
• Umbilicity of space-like submanifolds of Minkowski space
• The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space

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