Equivalence of Geometric and Combinatorial Dehn Functions

Details Equivalence of Geometric and Combinatorial Dehn Functions Equivalence of Geometric and Combinatorial Dehn Functions

1995-08-15

arxiv.org/abs/dg-ga/9508008v1

Mathematics

Differential Geometry

11 pages, 2 figures drawn with PiCTeX

Scientific paper

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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