On the radial limits of mappings on Riemannian manifolds

被引：2
|
作者：
Cristea, Mihai [1 ]
机构：
[1] Univ Bucharest, Fac Math & Comp Sci, Str Acad 14, Bucharest 010014, Romania
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2023年 / 13卷 / 04期
关键词：
Generalizations of quasiregular mappings; Riemannian manifolds; Radial limits; Mappings of finite distortion; OPEN DISCRETE MAPPINGS; BOUNDARY-BEHAVIOR; METRIC-SPACES; EXTENSION; MAPS;
D O I：
10.1007/s13324-023-00824-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the geometric properties of the mappings for which a generalized inverse Poletsky modular inequality holds. Our approach is on Riemannian manifolds and we generalize some known theorems from the theory of analytic mappings concerning radial limits, such as the theorems of Fatou and M. and F. Riesz and their extensions given for quasiregular mappings by Martio and Rickman.
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页数：17
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