Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes

DOI10.4171/RMI/559zbMath1170.53011OpenAlexW2164119429MaRDI QIDQ1001594

Farid Tari, Shyuichi Izumiya

Publication date: 19 February 2009

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1228834297

zbMATH Keywords

bifurcationcontourhyperbolic spacesingularity theoryplanehorospherecurvature relationLegendrian dualitysurface projection

Mathematics Subject Classification ID

Local submanifolds (53B25) Critical points of functions and mappings on manifolds (58K05)

Related Items (10)

Orthogonal projections based on hyperbolic and spherical \(n\)-simplex ⋮ Folding maps on spacelike and timelike surfaces and duality ⋮ Koenderink type theorems for fronts ⋮ Topological aspect of Wulff shapes ⋮ Recognizable classification of Lorentzian distance-squared mappings ⋮ Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space ⋮ Aperture of plane curves ⋮ A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space ⋮ Simultaneous smoothness and simultaneous stability of a \(C^\infty\) strictly convex integrand and its dual ⋮ Strictly convex Wulff shapes and 𝐶¹ convex integrands

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