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Topology of open nonpositively curved manifolds

Differential Geometry 2014-08-05 v3 Group Theory Geometric Topology Metric Geometry

Abstract

This is a survey of topological properties of open, complete nonpositively curved manifolds which may have infinite volume. Topics include topology of ends, restrictions on the fundamental group, as well as a review of known examples.

Keywords

Cite

@article{arxiv.1306.1256,
  title  = {Topology of open nonpositively curved manifolds},
  author = {Igor Belegradek},
  journal= {arXiv preprint arXiv:1306.1256},
  year   = {2014}
}

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50 pages