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Singularities of one-parameter pedal unfoldings of spherical pedal curves

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Publication:5171481
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DOI10.5427/jsing.2010.2jzbMath1292.58031OpenAlexW2004848986MaRDI QIDQ5171481

Takashi Nishimura

Publication date: 27 July 2014

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

Full work available at URL: https://doi.org/10.5427/jsing.2010.2j


zbMATH Keywords

cuspidal edgecuspidal cross-capcross-cap\(S_{k}^{\pm}\) singularityChen-Matumoto-Mond singularitycuspidal \(S_{k}^{\pm}\) singularitycuspidal Chen-Matumoto-Mond singularitypedal unfoldingspherical pedal curve


Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Classification; finite determinacy of map germs (58K40) Deformation of singularities (58K60) Algebraic and analytic properties of mappings on manifolds (58K20)


Related Items (4)

Topological aspect of Wulff shapes ⋮ Aperture of plane curves ⋮ Simultaneous smoothness and simultaneous stability of a \(C^\infty\) strictly convex integrand and its dual ⋮ Strictly convex Wulff shapes and 𝐶¹ convex integrands






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