The ends of manifolds with bounded geometry, linear growth and finite filling area

2002/09/30 by Louis Funar, Renata Grimaldi
Mathematics · #math.DG #math.GT #msc:53 #msc:23 #msc:57 #msc:15

paper · pdf

published as Geometriae Dedicata, 104(2004), 139-148. · revised version, Geometriae Dedicata (to appear)

arxiv created 2003/02/24 · arxiv updated 2009/11/30

Abstract

We prove that simply connected open Riemannian manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity.

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