Singularities of Anti de Sitter torus Gauss maps
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Publication:968023
DOI10.1007/s00574-010-0002-3zbMath1193.53016OpenAlexW2006100610MaRDI QIDQ968023
Publication date: 3 May 2010
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2115/42975
singularityGauss maptime-like surfaceLegendrian singularityanti de Sitter 3-space-timenull cone Gauss image
Non-Euclidean differential geometry (53A35) Differentiable maps on manifolds (58C25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (6)
Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space ⋮ Finite determinacy of high codimension smooth function germs ⋮ Anti de Sitter horospherical flat timelike surfaces ⋮ Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint ⋮ The singularities of null surfaces in Anti de Sitter 3-space ⋮ A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space
Cites Work
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- Reconstructions of fronts and caustics depending on a parameter and versality of mappings
- On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
- Time-like hypersurfaces in de Sitter space and Legendrian singularities
- On spacelike surfaces in Anti de Sitter 3-space from the contact viewpoint
- Surfaces in 3-space and their contact with circles
- Osculating hyperplanes and asymptotic directions of codimension two submanifolds of Euclidean spaces
- Affine-invariant distances, envelopes and symmetry sets
- Lagrangian and Legendrian singularities
- Inflection points and nonsingular embeddings of surfaces in \(\mathbb{R}^5\)
- Singularities and duality in the flat geometry of submanifolds of Euclidean spaces
- The geometry of surfaces in 4-space from a contact viewpoint
- Spacelike parallels and evolutes in Minkowski pseudo-spheres
- Lightlike surfaces of spacelike curves in de Sitter 3-space
- Timelike surfaces of constant mean curvature \(\pm 1\) in anti-de Sitter 3-space \(\mathbb H^3_1(-1)\)
- Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
- The normal singularities of a submanifold
- Sphere stratifications and the Gauss map
- On Generic Composites of Maps
- GLOBAL PROPERTIES OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE
- The duals of generic hypersurfaces.
- Generic Geometry, Transversality and Projections
- SINGULARITIES OF HYPERBOLIC GAUSS MAPS
- Wavefronts and parallels in Euclidean space
- The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
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