Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space

DOI10.1016/j.geomphys.2009.07.017zbMath1188.53056OpenAlexW2020086505MaRDI QIDQ1034211

Kentaro Saji, Shyuichi Izumiya, María Del Carmen Romero Fuster

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.07.017

zbMATH Keywords

Legendrian singularitiesLorentz-Minkowski spaceflat lightlike hypersurfacelightlike flat spacelike surface

Mathematics Subject Classification ID

Global submanifolds (53C40) Non-Euclidean differential geometry (53A35) Critical points of functions and mappings on manifolds (58K05)

Related Items (5)

Null hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Rotational hypersurfaces in Lorentz-Minkowski 4-space ⋮ On the geometry of null hypersurfaces in Minkowski space ⋮ Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space ⋮ The lightlike geometry of marginally trapped surfaces in Minkowski space-time

Cites Work

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• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• Flat fronts in hyperbolic 3-space and their caustics
• Singularities of maximal surfaces
• Lagrangian and Legendrian singularities
• Improper affine maps
• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
• Singularities of flat fronts in hyperbolic space
• Singularities of lightlike hypersurfaces in Minkowski four-space
• The lightcone Gauss map of a spacelike surface in Minkowski 4-space
• The general type of singularity of a set of \(2n-1\) smooth functions of \(n\) variables
• The Intrinsic Conformal Structure and Gauss Map of a Light-Like Hypersurface in Minkowski Space
• The S ² -Valued Gauss Maps and Split Total Curvature of a Space-Like Codimension-2 Surface in Minkowski Space
• Complete linear Weingarten surfaces of Bryant type. A Plateau problem at infinity
• Umbilicity of space-like submanifolds of Minkowski space
• The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
• SINGULARITIES OF IMPROPER AFFINE SPHERES AND SURFACES OF CONSTANT GAUSSIAN CURVATURE

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