Derived Schwarz map of the hypergeometric differential equation and a parallel family of flat fronts

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dc.creatorSasaki, Takeshi
dc.creatorYamada, Kotaro
dc.creatorYoshida, Masaaki
dc.date2007-02-28
dc.date.accessioned2026-07-07T07:49:22Z
dc.date.available2026-07-07T07:49:22Z
dc.descriptionIn the previous paper (math.CA/0609196) we defined a map, called the hyperbolic Schwarz map, from the one-dimensional projective space to the three-dimensional hyperbolic space by use of solutions of the hypergeometric differential equation, and thus obtained closed flat surfaces belonging to the class of flat fronts. We continue the study of such flat fronts in this paper. First, we introduce the notion of derived Schwarz maps of the hypergeometric differential equation and, second, we construct a parallel family of flat fronts connecting the classical Schwarz map and the derived Schwarz map.
dc.description15 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0702863
dc.identifierhttp://arxiv.org/abs/math/0702863
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124822
dc.subjectClassical Analysis and ODEs
dc.subject33C05; 53C42
dc.titleDerived Schwarz map of the hypergeometric differential equation and a parallel family of flat fronts
dc.typetext

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