CAUSTICS OF SURFACES IN THE MINKOWSKI 3-SPACE

DOI10.1093/qmath/haq030zbMath1235.53023OpenAlexW2025262485MaRDI QIDQ3225678

Farid Tari

Publication date: 22 March 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2683dbc3f281f34db121a503cf4c4e5326ba194d

zbMATH Keywords

envelopebifurcation setMinkowski 3-spacelocus of degeneracynormal rays

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Catastrophe theory (58K35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Critical points of functions and mappings on manifolds (58K05)

Related Items (11)

On the multiplicity of umbilic points ⋮ Umbilics of surfaces in the Minkowski 3-space ⋮ Singularities of generic line congruences ⋮ Singularities of caustics of surfaces in non-flat Riemannian 4-space form ⋮ Caustics of world hyper-sheets in the Minkowski space-time ⋮ Recognizable classification of Lorentzian distance-squared mappings ⋮ On focal curves of null Cartan curves ⋮ Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics ⋮ Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds ⋮ FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE ⋮ The sub-parabolic lines in the Minkowski 3-space

Uses Software

• SingSurf

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