Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space

DOI10.1007/s00022-009-0001-yzbMath1177.53021OpenAlexW2030422231MaRDI QIDQ1037204

Masaki Kasedou

Publication date: 13 November 2009

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

Full work available at URL: http://hdl.handle.net/2115/69719

zbMATH Keywords

de Sitter spacespace-like hypersurfacelight-coneGauss image

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Theory of singularities and catastrophe theory (58K99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

Legendrian dual surfaces of a spacelike curve in the 3-dimensional lightcone ⋮ Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space ⋮ Spacelike submanifolds of codimension two in anti-de Sitter space ⋮ Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space ⋮ Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint ⋮ Slant geometry of spacelike hypersurfaces in the lightcone ⋮ A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space ⋮ Spacelike submanifolds of codimension two in de Sitter space ⋮ The lightlike geometry of marginally trapped surfaces in Minkowski space-time

Cites Work

• Unnamed Item
• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• On contact between submanifolds
• Singularities in the problem of the quickest by-passing of an obstacle
• Tangential singularities
• Lagrangian and Legendrian singularities
• Stability of Gauss maps
• Sphere stratifications and the Gauss map
• The duals of generic hypersurfaces.
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS

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