Spacelike submanifolds of codimension two in de Sitter space

DOI10.1016/j.geomphys.2009.08.005zbMath1182.53011OpenAlexW1998372974WikidataQ126177268 ScholiaQ126177268MaRDI QIDQ1048996

Masaki Kasedou

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.08.005

zbMATH Keywords

Gauss mapde Sitter spacespace-like submanifoldlight-like hypersurface

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Differentiable maps on manifolds (58C25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space ⋮ Singular 4-webs of asymptotic lines of spacelike surfaces in de Sitter 5-space ⋮ Lightlike hypersurfaces along spacelike submanifolds in de Sitter space ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ Recognizable classification of Lorentzian distance-squared mappings ⋮ The lightlike geometry of marginally trapped surfaces in Minkowski space-time

Cites Work

• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space
• On contact between submanifolds
• Stability of caustics
• Lagrangian and Legendrian singularities
• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
• Lightlike surfaces of spacelike curves in de Sitter 3-space
• Singularities of lightlike hypersurfaces in Minkowski four-space
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS

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