论文标题
公制度量空间上的准文献映射和曲率
Quasiconformal Mappings and Curvatures on Metric Measure Spaces
论文作者
论文摘要
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 $\mathrm{RCD}(0,n)$ space ($n\geq2$) with Euclidean growth volume is an $n$-Loewner space and satisfies the infinitesimal-to-global 原则。
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 $\mathrm{RCD}(0,n)$ space ($n\geq2$) with Euclidean growth volume is an $n$-Loewner space and satisfies the infinitesimal-to-global principle.
