The Intrinsic Conformal Structure and Gauss Map of a Light-Like Hypersurface in Minkowski Space

DOI10.2307/2001289zbMath0691.53046OpenAlexW4241286605MaRDI QIDQ3032958

Marek Kossowski

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001289

zbMATH Keywords

Euler characteristicMinkowski spacenull geodesicslightlike hypersurfacesiconassociated Gauss map

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space ⋮ Spacelike surfaces in anti de Sitter four-space from a contact viewpoint ⋮ On the geometry of null hypersurfaces in Minkowski space ⋮ Foliations of lightlike hypersurfaces and their physical interpretation ⋮ Lightlike hypersurfaces and canal hypersurfaces of Lorentzian surfaces ⋮ Fully stratified compact hypersurfaces in Minkowski 4-space ⋮ Singularities of lightlike hypersurfaces in Minkowski four-space ⋮ Lightlike manifolds and Cartan geometries ⋮ Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space ⋮ On geometry of hypersurfaces of a pseudoconformal space of Lorentzian signature ⋮ A Ricci-type flow on globally null manifolds and its gradient estimates

Cites Work

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• A Gauss map and hybrid degree formula for compact hypersurfaces in Minkowski space
• The S ² -Valued Gauss Maps and Split Total Curvature of a Space-Like Codimension-2 Surface in Minkowski Space
• Fold Singularities in Pseudo Riemannian Geodesic Tubes
• Pseudo-Riemannian Metric Singularities and the Extendability of Parallel Transport

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