Time-like hypersurfaces in de Sitter space and Legendrian singularities

DOI10.1007/s10958-007-0232-0zbMath1177.53066OpenAlexW2109666933MaRDI QIDQ1040274

Shyuichi Izumiya

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69502

zbMATH Keywords

wave frontsLorentz-Minkowski spacepseudo-spheresde Sitter height functions

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

On the singularities of families of curve congruences on Lorentzian surfaces, Folding maps on spacelike and timelike surfaces and duality, Duals of timelike Sabban curves in de Sitter \(n\)-space, Evolutes of spacelike hypersurfaces in anti-de Sitter space, Self-adjoint operators on surfaces with singular metrics, On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space, Duality and geometry of horocyclic evolutes in hyperbolic plane, Anti de Sitter horospherical flat timelike surfaces, Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint, Singularities of Anti de Sitter torus Gauss maps, Dualities and evolutes of fronts in hyperbolic and de Sitter space, Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes, A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space

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