Geometriae Dedicata

, Volume 50, Issue 2, pp 165–191

Polygonal complexes and combinatorial group theory

  • W. Ballmann
  • M. Brin
Article

Abstract

We study the structure of certain simply connected 2-dimensional complexes with non-positive curvature. We obtain a precise description of how these complexes behave at infinity and prove an existence theorem which gives an abundance of such complexes. We also investigate the structure of groups which act transitively on the set of vertices of such a complex.

Mathematics Subject Classifications (1991)

51K10 20Fxx 

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • W. Ballmann
    • 1
  • M. Brin
    • 2
  1. 1.Mathematisches InstitutUniversität BonnBonnGermany
  2. 2.Department of MathematicsUniversity of MarylandCollege ParkUSA

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