About homotopy classes of non-singular vector fields on the three-sphere

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dc.creatorDufraine, Emmanuel
dc.date2003-03-25
dc.date.accessioned2026-07-07T04:56:22Z
dc.date.available2026-07-07T04:56:22Z
dc.descriptionGenerically, the set of points along which two non-singular vector fields on the three-sphere are positively (resp. negatively) collinear form a link. We prove that the two vector fields are homotopic if and only if the linking number of those links is zero. We use this criterion to give a new proof of a result of Yano: every non-singular vector field on the three-sphere is homotopic to a non-singular Morse-Smale vector field.
dc.description16 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0303315
dc.identifierhttp://arxiv.org/abs/math/0303315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66898
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject37D15, 55Q99
dc.titleAbout homotopy classes of non-singular vector fields on the three-sphere
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