2001/03/13 by Jose Burillo, Burillo, Jose, Jennifer Taback +1
Mathematics · #20F65 #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR) #math.DG #math.GR #msc:20F65
paper · pdf · doi:10.48550/arxiv.math/0103081
arxiv created 2001/03/13 · arxiv updated 2009/11/30
We prove that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the Dehn function of the group and the corresponding filling function of the manifold are equivalent, in a sense described below.