Отправить статью по E-mail On prime ends on Riemannian manifolds
- Авторы: Ilyutko D.P.1, Sevost’yanov E.A.2,3
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Учреждения:
- 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
- Выпуск: Том 241, № 1 (2019)
- Страницы: 47-63
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242854
- DOI: https://doi.org/10.1007/s10958-019-04406-7
- ID: 242854
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Аннотация
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.
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Denis Ilyutko
Chair of Differential Geometry and Applications, Mechanico-Mathematical Faculty, M. V. Lomonosov Moscow State University
Автор, ответственный за переписку.
Email: ilyutko@yandex.ru
Россия, Moscow
Evgeny Sevost’yanov
I. Franko Zhytomyr State University; Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Email: ilyutko@yandex.ru
Украина, Zhytomyr; Slavyansk
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