On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic \(n\)-space

DOI10.1007/S00574-004-0010-2zbMath1086.53081OpenAlexW2088593999MaRDI QIDQ1762914

Masatomo Takahashi, Dong He Pei, Shyuichi Izumiya, María Carmen Romero Fuster

Publication date: 11 February 2005

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-004-0010-2

zbMATH Keywords

horoasymptotic linehorospherical ridge pointhyperbolic height functionhyperhorosphere

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (6)

Spacelike parallels and evolutes in Minkowski pseudo-spheres ⋮ Folding maps on spacelike and timelike surfaces and duality ⋮ Duality and geometry of horocyclic evolutes in hyperbolic plane ⋮ Horospherical flat surfaces in hyperbolic 3-space ⋮ Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes ⋮ Time-like hypersurfaces in de Sitter space and Legendrian singularities

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