Hypersurfaces in lightlike cone

DOI10.1016/j.geomphys.2008.02.011zbMath1144.53028OpenAlexW2051337744MaRDI QIDQ931830

Seoung Dal Jung, Liu Hui-Li

Publication date: 26 June 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.02.011

zbMATH Keywords

hyperquadriclight-like coneconformal flatnondegenerate hypersurfacevariation of area integral

Mathematics Subject Classification ID

Related Items (16)

Null hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Legendrian dual surfaces in hyperbolic 3-space ⋮ Legendrian dual surfaces of a spacelike curve in the 3-dimensional lightcone ⋮ Lightcone dualities for hypersurfaces in the sphere ⋮ Rigidity of isometric immersions into the light cone ⋮ Unnamed Item ⋮ The duality of conformally flat manifolds ⋮ Timelike surfaces in 3-dimensional lightlike cone ⋮ Lightcone dualities for curves in the lightcone unit 3-sphere ⋮ New characterizations of compact totally umbilical spacelike surfaces in 4-dimensional Lorentz-Minkowski spacetime through a lightcone ⋮ Spacelike surfaces in \(\mathbb{L}^4\) with null mean curvature vector and the nonlinear Riccati partial differential equation ⋮ Slant geometry of spacelike hypersurfaces in the lightcone ⋮ Codimension two spacelike submanifolds through a null hypersurface in a Lorentzian manifold ⋮ A duality for conformally flat hypersurfaces ⋮ Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter space ⋮ Null hypersurfaces and the rigged metric

Cites Work

• Unnamed Item
• Unnamed Item
• Classification of ruled surfaces in Minkowski 3-spaces
• On null submanifolds in spacetimes
• Surfaces in the lightlike cone
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen's equality
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• On conformally flat submanifolds
• Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone

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