Tits alternative for closed real analytic 4-manifolds of nonpositive curvature

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dc.creatorXie, Xiangdong
dc.date2003-03-11
dc.date.accessioned2026-07-07T04:55:56Z
dc.date.available2026-07-07T04:55:56Z
dc.descriptionWe study subgroups of fundamental groups of real analytic closed 4-manifolds with nonpositive sectional curvature. In particular, we are interested in the following question: if a subgroup of the fundamental group is not virtually free abelian, does it contain a free group of rank two ? The technique involves the theory of general metric spaces of nonpositive curvature.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0303131
dc.identifierhttp://arxiv.org/abs/math/0303131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66758
dc.subjectGroup Theory
dc.subjectDifferential Geometry
dc.subjectPrimary 53C20, 20F67; Secondary 20F65
dc.titleTits alternative for closed real analytic 4-manifolds of nonpositive curvature
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