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

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

2003-03-11

arxiv.org/abs/math/0303131v1

Mathematics

Group Theory

26 pages

Scientific paper

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.

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