On local properties of one class of mappings on Riemannian manifolds
D.P. Ilyutko, E.A. Sevost'yanov
TL;DR
This paper investigates the local behavior of a specific class of open discrete quasiconformal mappings on Riemannian manifolds, extending understanding in geometric function theory.
Contribution
It provides new theorems describing the local properties of these mappings on arbitrary Riemannian manifolds, bridging quasiconformal theory and Riemannian geometry.
Findings
Theorems on local behavior of open discrete mappings
Results applicable to arbitrary Riemannian manifolds
Insights into unbounded quasiconformality characteristics
Abstract
The present paper is devoted to questions located at the junction of the theory of space quasiconformal mappings and Riemannian surfaces. Theorems on local behavior of one class of open discrete mappings with unbounded characteristic of quasiconformality on arbitrary Riemannian manifolds are obtained
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Taxonomy
TopicsAnalytic and geometric function theory · Geometric Analysis and Curvature Flows · Differential Equations and Boundary Problems