Quasiconformal Mappings and Curvatures on Metric Measure Spaces
Abstract
In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexsandrov, we show that a non-collapsed RCD(0,n) space (n≥2) with Euclidean growth volume is an n-Loewner space and satisfies the infinitesimal-to-global principle.
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