Homeomorphisms of Finite Metric Distortion Between Riemannian Manifolds

被引：0
|
作者：
Elena Afanas’eva
Anatoly Golberg
机构：
[1] Institute of Applied Mathematics and Mechanics of the NAS of Ukraine,Department of Mathematics
[2] Holon Institute of Technology,undefined
来源：
Computational Methods and Function Theory | 2022年 / 22卷
关键词：
Riemannian manifolds; Finitely bi-Lipschitz homeomorphisms; Quasisymmetry; Quasiconformality; Finite metric distortion; Lower ; -homeomorphisms; Moduli of families of curves and surfaces; Boundary behavior of bi-Lipschitz homeomorphisms; Lusin (; )-property; Primary: 30L10; 58B20; Secondary: 30C65; 53B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The theory of multidimensional quasiconformal mappings employs three main approaches: analytic, geometric (modulus) and metric ones. In this paper, we use the last approach and establish the relationship between homeomorphisms of finite metric distortion (FMD-homeomorphisms), finitely bi-Lipschitz, quasisymmetric and quasiconformal mappings on Riemannian manifolds. One of the main results shows that FMD-homeomorphisms are lower Q-homeomorphisms. As an application, there are obtained some sufficient conditions for boundary extensions of FMD-homeomorphisms. These conditions are illustrated by several examples of FMD-homeomorphisms.
引用
收藏
页码：755 / 780
页数：25
相关论文
共 50 条
  • [1] Homeomorphisms of Finite Metric Distortion Between Riemannian Manifolds
    Afanas'eva, Elena
    Golberg, Anatoly
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2022, 22 (04) : 755 - 780
  • [2] Finitely bi-Lipschitz homeomorphisms between Finsler manifolds
    Elena Afanas’eva
    Anatoly Golberg
    Analysis and Mathematical Physics, 2020, 10
  • [3] Topological mappings of finite area distortion
    Elena Afanas’eva
    Anatoly Golberg
    Analysis and Mathematical Physics, 2022, 12
  • [4] Topological mappings of finite area distortion
    Afanas'eva, Elena
    Golberg, Anatoly
    ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (02)
  • [5] BLOW-UP ON METRIC GRAPHS AND RIEMANNIAN MANIFOLDS
    Punzo, Fabio
    Tesei, Alberto
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (12): : 6362 - 6392
  • [6] Finitely bi-Lipschitz homeomorphisms between Finsler manifolds
    Afanas'eva, Elena
    Golberg, Anatoly
    ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (04)
  • [7] RIEMANNIAN MANIFOLDS WITH A SEMI-SYMMETRIC METRIC P-CONNECTION
    Chaubey, Sudhakar Kr
    Lee, Jae Won
    Yadav, Sunil Kr
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (04) : 1113 - 1129
  • [8] ON THE METRIC PROJECTION ONTO PROX-REGULAR SUBSETS OF RIEMANNIAN MANIFOLDS
    Hosseini, Seyedehsomayeh
    Pouryayevali, Mohamad R.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (01) : 233 - 244
  • [9] On mappings in the Orlicz–Sobolev classes on Riemannian manifolds
    Elena S. Afanasieva
    Vladimir I. Ryazanov
    Ruslan R. Salimov
    Journal of Mathematical Sciences, 2012, 181 (1) : 1 - 17
  • [10] A Solitonic Study of Riemannian Manifolds Equipped with a Semi-Symmetric Metric ξ-Connection
    Haseeb, Abdul
    Chaubey, Sudhakar Kumar
    Mofarreh, Fatemah
    Ahmadini, Abdullah Ali H.
    AXIOMS, 2023, 12 (09)
12345