Evolutes of fronts in the Euclidean plane

DOI10.5427/jsing.2014.10fzbMath1308.53005OpenAlexW2556248761MaRDI QIDQ2941103

Masatomo Takahashi, Tomonori Fukunaga

Publication date: 22 January 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69831

zbMATH Keywords

evoluteLegendre immersionfrontparallel curve

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Curves in Euclidean and related spaces (53A04) Critical points of functions and mappings on manifolds (58K05)

Related Items (34)

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Uses Software

• CandS

Cites Work

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• Existence and uniqueness for Legendre curves
• Curves in the Minkowski plane and their contact with pseudo-circles
• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• The duality between singular points and inflection points on wave fronts
• Evolutes of hyperbolic plane curves
• The geometry of fronts
• The theory of caustics and wave front singularities with physical applications
• Simple Singularities of Mappings C, 0 → C² , 0
• A Computation of the Basic Invariant J⁺ for Closed 2-Vertex Curves
• Symplectic Bifurcations of Plane Curves and Isotropic Liftings
• Caustics of wavefronts in general relativity

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