Renata Grimaldi, Valentin Poénaru: Topologie à l'infini et variétés à géométrie bornée, p.419-434

Abstract:

We give a quick review on the asymptotic topology and the geometry of manifolds with bounded geometry, by quoting also some results obtained by the authors. In particular we will focus on tameness conditions at infinity and on the links between them and the growth-types of such manifolds.

Key Words: Bounded geometry, growth, filling area, finite topological type, simple connectivity at infinity, geometric simple connectivity, quasi-simple filtration (QSF).

2000 Mathematics Subject Classification: Primary: 53C23;
Secondary: 53C20, 57M07, 57M10.

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