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Equivalence of Geometric and Combinatorial Dehn Functions

1995/08/15 by José Burillo, Burillo, Jose
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Chemical Synthesis and Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.dg-ga/9508008

openalex publication_date 1995/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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