Curves in the Minkowski plane and their contact with pseudo-circles
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Publication:438948
DOI10.1007/s10711-011-9649-1zbMath1267.53011OpenAlexW1964659598MaRDI QIDQ438948
Publication date: 31 July 2012
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-011-9649-1
Lagrangian submanifolds; Maslov index (53D12) Non-Euclidean differential geometry (53A35) Critical points of functions and mappings on manifolds (58K05)
Related Items (14)
Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane ⋮ Involutes of fronts in the Euclidean plane ⋮ Evolutes of fronts in the Euclidean plane ⋮ The flow-curvature of spacelike parametrized curves in the Lorentz plane ⋮ Geometric deformations of curves in the Minkowski plane ⋮ Evolutes of the (n,m)-cusp mixed-type curves in the Lorentz–Minkowski plane ⋮ Minkowski medial axes and shocks of plane curves ⋮ Minkowski Symmetry Sets of Plane Curves ⋮ Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space ⋮ Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers ⋮ Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics ⋮ Evolutoids and pedaloids of Minkowski plane curves ⋮ Orbit propagation in Minkowskian geometry ⋮ Evolutoids of the mixed-type curves
Cites Work
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- Medial representations. Mathematics, algorithms and applications
- Pseudo-Riemannian geodesics and billiards
- Parametrized plane curves, Minkowski caustics, Minkowski vertices and conservative line fields
- Local Symmetry of Plane Curves
- Wave front evolution and equivariant Morse lemma
- Singularites generiques des equations differentielles multiformes
- Wavefronts and parallels in Euclidean space
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