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Flat lightlike hypersurfaces in Lorentz–Minkowski 4-space
Shyuichi IzumiyaKentaro SajiMaria Del Carmen Romero Fustersubject
Pure mathematicsMathematics::Complex VariablesLorentz transformationMathematical analysisGeneral Physics and AstronomySpace (mathematics)General Relativity and Quantum Cosmologysymbols.namesakeMathematics::Algebraic GeometryTheory of relativityClassification resultMinkowski spaceHorizon (general relativity)symbolsGravitational singularityMathematics::Differential GeometryGeometry and TopologyMathematical PhysicsFlatness (mathematics)Mathematicsdescription
Abstract The lightlike hypersurfaces in Lorentz–Minkowski space are of special interest in Relativity Theory. In particular, the singularities of these hypersurfaces provide good models for the study of different horizon types. We introduce the notion of flatness for these hypersurfaces and study their singularities. The classification result asserts that a generic classification of flat lightlike hypersurfaces is quite different from that of generic lightlike hypersurfaces.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-11-01 | Journal of Geometry and Physics |