Vector fields with a given set of singular points

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dc.creatorPrishlyak, A. O.
dc.date1999-01-26
dc.date.accessioned2026-07-07T05:27:40Z
dc.date.available2026-07-07T05:27:40Z
dc.descriptionTheorems on the existence of vector fields with given sets of Indexes of isolated Singular points are proved for the cases of closed manifolds, pairs of manifolds, manifolds with boundary, and gradient fields. It is proved that, on a two-dimensional manifold, an index of an isolated Singular point of the gradient field is not greater than one.
dc.identifierhttps://arxiv.org/abs/math/9901116
dc.identifierhttp://arxiv.org/abs/math/9901116
dc.identifierUkrainian Mathematical Journal, Vol. 49, No. 10, 1997, 1373-1384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78004
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject57R25, 58F25 (57R40)
dc.titleVector fields with a given set of singular points
dc.typetext

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