On prime ends on Riemannian manifolds

被引：0
作者：
Ilyutko D.P. [1 ]
Sevost’yanov E.A. [2 ,3 ]
机构：
[1] Chair of Differential Geometry and Applications, Mechanico-Mathematical Faculty, M. V. Lomonosov Moscow State University, Moscow
[2] I. Franko Zhytomyr State University, Zhytomyr
[3] Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk
来源：
Journal of Mathematical Sciences | 2019年 / 241卷 / 1期
关键词：
capacities; mappings with a bounded finite distortion; moduli; Prime ends;
D O I：
10.1007/s10958-019-04406-7
中图分类号：
学科分类号：
摘要：
We study the boundary behavior of the classes of ring mappings on Riemannian manifolds, which are a generalization of quasiconformal mappings by Gehring. In terms of the prime ends of regular domains, the theorems of continuous extension of those classes onto the boundary of a domain are presented. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：47 / 63
页数：16
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