Moebius and sub-Moebius structures

2016/08/25 by Buyalo, Sergei
#20F67(secondary) #51M10 (primary) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1608.07229

Abstract

We introduce a notion of a sub-Moebius structure and find necessary and sufficient conditions under which a sub-Moebius structure is a Moebius structure. We show that on the boundary at infinity of every Gromov hyperbolic space Y there is a canonical sub-Moebius structure which is invariant under isometries of Y such that the sub-Moebius topology on the boundary coincides with the standard one.

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