Singularities of improper affine spheres and surfaces of constant Gaussian curvature

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dc.creatorIshikawa, Go-o
dc.creatorMachida, Yoshinori
dc.date2005-02-08
dc.date.accessioned2026-07-07T05:16:47Z
dc.date.available2026-07-07T05:16:47Z
dc.descriptionWe study the equation for improper (parabolic) affine spheres from the view point of contact geometry and provide the generic classification of singularities appearing in geometric solutions to the equation as well as their duals. We also show the results for surfaces of constant Gaussian curvatureand for developable surfaces. In particular we confirm that generic singularities appearing in such a surface are just cuspidal edges and swallowtails.
dc.description20 pages, 1 figures
dc.identifierhttps://arxiv.org/abs/math/0502154
dc.identifierhttp://arxiv.org/abs/math/0502154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74119
dc.subjectDifferential Geometry
dc.subject53C42; 53A15
dc.titleSingularities of improper affine spheres and surfaces of constant Gaussian curvature
dc.typetext

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