Mathematics – Metric Geometry
Scientific paper
2005-05-26
Mathematics
Metric Geometry
Scientific paper
It is shown that curvature-dimension bounds CD(N, k) for a metric measure
space (X,d,m) in the sense of Sturm imply a weak L^1- Poincare-inequality under
some symmetry assumption on the choice of transport rays in the cut locus of
(X,d). This condition is satisfied if (X,d) has m-almost surely no branching
points.
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