English

Equivalence of Geometric and Combinatorial Dehn Functions

dg-ga 2008-02-03 v1 Differential Geometry

Abstract

In this paper it is proved that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the two Dehn functions, of the group and the manifold, respectively, are equivalent.

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Cite

@article{arxiv.dg-ga/9508008,
  title  = {Equivalence of Geometric and Combinatorial Dehn Functions},
  author = {Jose Burillo},
  journal= {arXiv preprint arXiv:dg-ga/9508008},
  year   = {2008}
}

Comments

11 pages, 2 figures drawn with PiCTeX