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Quasiconformal mappings and curvatures on metric measure spaces.

Authors :
Jialong Deng
Source :
Proceedings of the International Geometry Center. 2022, Vol. 15 Issue 3/4, p203-218. 16p.
Publication Year :
2022

Abstract

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 ě 2 a noncollapsed RCD(0, n) space with Euclidean volume growth is an n-Loewner space and satisfies the infinitesimal-to-global principle. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20729812
Volume :
15
Issue :
3/4
Database :
Academic Search Index
Journal :
Proceedings of the International Geometry Center
Publication Type :
Academic Journal
Accession number :
162478490
Full Text :
https://doi.org/10.15673/tmgc.v15i3-4.2369