, Volume 253, Issue 4, pp 753-785

Asymptotic upper curvature bounds in coarse geometry

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Abstract

We define a notion of an asymptotic upper curvature bound for Gromov hyperbolic metric spaces that is invariant under rough-isometries and examine the basic properties of this concept.

M.B. was supported by NSF grants DMS 0200566 and DMS 0244421. Th.F. was supported by the Deutsche Forschungsgemeinschaft (FO 353/1-1).