Removable singularities of mappings with inverse Poletsky inequality on Riemannian manifolds
UDC517.5 We consider open discrete mappings of Riemannian manifolds satisfying a certain modulus inequality. We analyze the possibility of continuous extension of these mappings to an isolated point of the boundary. It is proved that these mappings admit extensions of this...
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| Дата: | 2024 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8078 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC517.5
We consider open discrete mappings of Riemannian manifolds satisfying a certain modulus inequality. We analyze the possibility of continuous extension of these mappings to an isolated point of the boundary. It is proved that these mappings admit extensions of this kind if they exclude    two or more points of the connected Riemannian manifold and the majorant appearing  in the modulus inequality is integrable over almost all spheres. |
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| DOI: | 10.3842/umzh.v76i7.8078 |