Reducibility of Dupin submanifolds

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dc.creatorDajczer, Marcos
dc.creatorFlorit, Luis A.
dc.creatorTojeiro, Ruy
dc.date2004-03-24
dc.date.accessioned2026-07-07T05:06:43Z
dc.date.available2026-07-07T05:06:43Z
dc.descriptionWe introduce the notion of weak reduciblity for Dupin submanifolds with arbitrary codimension. We give a complete characterization of all weakly reducible Dupin submanifolds, as a consequence of a general result on a broader class of Euclidean submanifolds. As a main application, we derive an explicit recursive procedure to generate all holonomic Dupin submanifolds in terms of solutions of completely integrable systems of linear partial differential equations of first order. We obtain several additional results on Dupin submanifolds.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0403418
dc.identifierhttp://arxiv.org/abs/math/0403418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70578
dc.subjectDifferential Geometry
dc.subject53B25
dc.titleReducibility of Dupin submanifolds
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