Cusp singularities of plane envelopes

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dc.creatorCapitanio, Gianmarco
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:51:31Z
dc.date.available2026-07-07T06:51:31Z
dc.descriptionWe consider smooth 1-parameter families of plane curves tangent to a semicubic parabola, when the curvature radius of their curves at the tangency point vanishes at the cusp point. We find the $\A$-normal form of these families, their envelopes and local patterns near the cusp. We obtain a new codimension 2 singularity of envelopes (two transversal semicubic cusps), and we describe its perestroikas under generic small deformations.
dc.description13 pp; 3 figures
dc.identifierhttps://arxiv.org/abs/math/0511511
dc.identifierhttp://arxiv.org/abs/math/0511511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105013
dc.subjectDifferential Geometry
dc.subject14B05, 14H15, 58K50, 58K60
dc.titleCusp singularities of plane envelopes
dc.typetext

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