Flat fronts in hyperbolic 3-space with prescribed singularities

DOI10.1007/s10455-014-9420-6zbMath1304.53060OpenAlexW1966996247MaRDI QIDQ465476

J. Herrera, D. Rodríguez-Gómez

Publication date: 31 October 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-014-9420-6

zbMATH Keywords

hyperbolic 3-spacecuspidal edgeswallowtailflat front

Mathematics Subject Classification ID

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

Related Items (6)

Singularity properties of Lorentzian Darboux surfaces in Lorentz-Minkowski spacetime ⋮ On quasicomplete k$k$‐surfaces in 3‐dimensional space‐forms ⋮ Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space ⋮ Proper holomorphic Legendrian curves in \(\mathrm{SL}_2(\mathbb {C})\) ⋮ Singularities of improper affine maps and their Hessian equation ⋮ Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter space

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