Email this article On prime ends on Riemannian manifolds
- Authors: Ilyutko D.P.1, Sevost’yanov E.A.2,3
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Affiliations:
- Chair of Differential Geometry and Applications, Mechanico-Mathematical Faculty, M. V. Lomonosov Moscow State University
- I. Franko Zhytomyr State University
- Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
- Issue: Vol 241, No 1 (2019)
- Pages: 47-63
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242854
- DOI: https://doi.org/10.1007/s10958-019-04406-7
- ID: 242854
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Abstract
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.
About the authors
Denis P. Ilyutko
Chair of Differential Geometry and Applications, Mechanico-Mathematical Faculty, M. V. Lomonosov Moscow State University
Author for correspondence.
Email: ilyutko@yandex.ru
Russian Federation, Moscow
Evgeny A. Sevost’yanov
I. Franko Zhytomyr State University; Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Email: ilyutko@yandex.ru
Ukraine, Zhytomyr; Slavyansk
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