Fixed points of discrete nilpotent group actions on S^2

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dc.creatorDruck, Suely
dc.creatorFang, Fuquan
dc.creatorFirmo, Sebastiao
dc.date2001-09-03
dc.date.accessioned2026-07-07T04:43:15Z
dc.date.available2026-07-07T04:43:15Z
dc.descriptionWe prove that for each integer k of at least 2, there is an open neigborhood ν_k of the identity map of the 2-sphere S^2, in C^1-topology such that: if G is a nilpotent subgroup of Diff^1(S^2) with length k of nilpotency, generated by elements in ν_k, then the natural action on S^2 has non-empty fixed point set. Moreover, the G-action has at least two fixed points if the action has a finite non-trivial orbit.
dc.description15 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0109015
dc.identifierhttp://arxiv.org/abs/math/0109015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62134
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject57R30
dc.titleFixed points of discrete nilpotent group actions on S^2
dc.typetext

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