Geometric deformations of curves in the Minkowski plane

DOI10.2748/tmj.20220221arXiv2007.04412OpenAlexW4387061364MaRDI QIDQ6146743

Alex Paulo Francisco

Publication date: 15 January 2024

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04412

zbMATH Keywords

bifurcationsplane curvesMinkowski planecaustics

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Deformation of singularities (58K60)

Cites Work

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• Curves in the Minkowski plane and their contact with pseudo-circles
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• On pairs of regular foliations in the plane.
• Evolutes of fronts in the Euclidean plane
• Minkowski Symmetry Sets of Plane Curves
• Generic Geometry
• The unfolding and determinacy theorems for subgroups of 𝒜 and 𝒦
• Differential Geometry from a Singularity Theory Viewpoint
• PLANE CURVE DIAGRAMS AND GEOMETRICAL APPLICATIONS
• Complete transversals and the classification of singularities
• Projection-Generic Curves
• Wave front evolution and equivariant Morse lemma
• Flat and round singularity theory of plane curves
• Wavefronts and parallels in Euclidean space
• PROJECTIONS OF SPACE CURVES AND DUALITY
• Flat singularity theory

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