Singularities of indefinite hypersurfaces and indefinite surfaces along timelike curves in nullcone with index two

DOI10.1155/2018/5859410zbMath1394.53028OpenAlexW2810938467MaRDI QIDQ725174

Xue Song, Zhi-Gang Wang

Publication date: 1 August 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/5859410

zbMATH Keywords

semi-Euclidean spaceosculating nullconetime-like curves

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35)

Cites Work

• Unnamed Item
• Gaussian surfaces and nullcone dual surfaces of null curves in a three-dimensional nullcone with index 2
• Tangent cut loci on surfaces
• Singularities for one-parameter null hypersurfaces of anti-de Sitter spacelike curves in semi-Euclidean space
• Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds
• Stability of caustics
• Light-cone superstring in AdS space-time
• Singularities of null developable of timelike curve that lies on nullcone in semi-Euclidean 3-space with index 2
• On convex projective manifolds and cusps
• Invariance of domain in Minkowski space with path topology
• Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics
• Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials
• Information travels in massless fields in 1+1 dimensions where energy cannot
• Geometry of 1-lightlike submanifolds in anti-de Sitter n-space
• On lightlike hypersurfaces and lightlike focal sets of null Cartan curves in Lorentz-Minkowski spacetime
• DUALITY AND ORTHOGONAL PROJECTIONS OF CURVES AND SURFACES IN EUCLIDEAN 3-SPACE
• LIGHTCONE DUALITIES FOR CURVES IN THE SPHERE
• On spacelike curves in hyperbolic space times sphere