Singularities for normal hypersurfaces of de Sitter timelike curves in Minkowski 4-space

DOI10.5427/jsing.2015.12ozbMath1308.53030OpenAlexW2325571429MaRDI QIDQ5174942

Yongqiao Wang, Dong He Pei

Publication date: 19 February 2015

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

Full work available at URL: https://semanticscholar.org/paper/8df1287b29548c6f53240986c040f67f85694a1c

zbMATH Keywords

de Sitter 3-spacetime-like curvesnormal hypersurfacesLorentzian invariants

Mathematics Subject Classification ID

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

Related Items (3)

Geometric invariants and focal surfaces of spacelike curves in de Sitter space from a caustic viewpoint ⋮ Evolutes of the (n,m)-cusp mixed-type curves in the Lorentz–Minkowski plane ⋮ Singularities for one-parameter null hypersurfaces of anti-de Sitter spacelike curves in semi-Euclidean space

Cites Work

• Singularities of de Sitter Gauss map of timelike hypersurface in Minkowski 4-space
• On spacelike surfaces in Anti de Sitter 3-space from the contact viewpoint
• Stability of caustics
• Conformal invariants for curves and surfaces in three dimensional space forms
• Singularities of focal surfaces of null Cartan curves in Minkowski 3-space
• Singularities of null developable of timelike curve that lies on nullcone in semi-Euclidean 3-space with index 2
• Lightlike surfaces of spacelike curves in de Sitter 3-space

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