Fixed points of analytic actions of supersoluble Lie groups on compact surfaces

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dc.creatorHirsch, Morris W.
dc.creatorWeinstein, Alan
dc.date2000-02-02
dc.date2000-09-02
dc.date.accessioned2026-07-07T04:33:32Z
dc.date.available2026-07-07T04:33:32Z
dc.descriptionWe show that every real analytic action of a connected supersoluble Lie group on a compact surface with nonzero Euler characteristic has a fixed point. This implies that E. Lima's fixed point free $C^{\infty}$ action on $S^2$ of the affine group of the line cannot be approximated by analytic actions. An example is given of an analytic, fixed point free action on $S^2$ of a solvable group that is not supersoluble.
dc.description6 pages, minor revisions in second verson
dc.identifierhttps://arxiv.org/abs/math/0002013
dc.identifierhttp://arxiv.org/abs/math/0002013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58612
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject58C30; 22E25
dc.titleFixed points of analytic actions of supersoluble Lie groups on compact surfaces
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