Lightlike flat geometry of spacelike submanifolds in Lorentz–Minkowski space

DOI10.1142/S0219887814500492zbMath1296.53115OpenAlexW2153471138MaRDI QIDQ5494850

Masaki Kasedou, Shyuichi Izumiya

Publication date: 30 July 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887814500492

zbMATH Keywords

Lagrangian singularitiesLegendrian singularitiesLorentz-Minkowski spacelightcone Gauss mapscanal space-like submanifoldlightcone pedal hypersurface

Mathematics Subject Classification ID

Global submanifolds (53C40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Critical points of functions and mappings on manifolds (58K05)

Related Items (2)

Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint ⋮ Darboux vector in four-dimensional space-time

Cites Work

• Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time
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• Geometric techniques in gauge theories. Proceedings of the Fifth Scheveningen Conference on Differential Equations, The Netherlands, August 23-28, 1981
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• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
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• The lightcone Gauss map of a spacelike surface in Minkowski 4-space
• The S ² -Valued Gauss Maps and Split Total Curvature of a Space-Like Codimension-2 Surface in Minkowski Space
• On the Total Curvature of Immersed Manifolds
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• Umbilicity of space-like submanifolds of Minkowski space
• THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE

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