Abstract
A relation between đťś‚-quasi-symmetric homomorphisms and K-quasiconformal map**s on n-dimensional smooth connected Riemannian manifolds has been studied. The main results of the research are presented in Theorems 2.6 and 2.7. Several conditions for the boundary behavior of đťś‚-quasi-symmetric homomorphisms between two arbitrary domains with weakly flat boundaries and compact closures, QED and uniform domains on the Riemannian manifolds, which satisfy the obtained results, were also formulated. In addition, quasiballs, c-locally connected domains, and the corresponding results were also considered.
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Dedicated to the 80th anniversary of the Corresponding Member of the NAS of Ukraine V. Ya. Gutlyanskii
Translated from Ukrains’kiÄ MatematychnyÄ Visnyk, Vol. 18, No. 2, pp. 145–159, April–June, 2021.
This study was partially supported in the framework of the project Development of Mathematical Models, Numerical and Analytical Methods, and Algorithms for Solving Modern Problems of Biomedical Research (state registration No. 0117U002165).
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Afanas’eva, E.S., Bilet, V.V. Quasi-symmetric map**s and their generalizations on Riemannian manifolds. J Math Sci 258, 265–275 (2021). https://doi.org/10.1007/s10958-021-05545-6
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DOI: https://doi.org/10.1007/s10958-021-05545-6