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

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We 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.
26 pages

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Group Theory, Differential Geometry, Primary 53C20, 20F67; Secondary 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/66758

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303131
 http://arxiv.org/abs/math/0303131

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arXiv