Pracì Mìžnarodnogo Geometričnogo Centru (Mar 2023)

Quasiconformal mappings and curvatures on metric measure spaces

  • Jialong Deng

DOI
https://doi.org/10.15673/tmgc.v15i3-4.2369
Journal volume & issue
Vol. 15, no. 3-4
pp. 203 – 218

Abstract

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In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space and satisfies the infinitesimal-to-global principle.

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