Tits alternative for closed real analytic 4-manifolds of nonpositive curvature
Group Theory
2007-05-23 v1 Differential Geometry
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.
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Cite
@article{arxiv.math/0303131,
title = {Tits alternative for closed real analytic 4-manifolds of nonpositive curvature},
author = {Xiangdong Xie},
journal= {arXiv preprint arXiv:math/0303131},
year = {2007}
}
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26 pages