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

Abstract

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

Cited by in corpus (2)

• Groups acting on CAT(0) square complexes
• Tits boundary of CAT(0) 2-complexes