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arXiv · 2309.15222

Removable singularities of mappings with inverse Poletksy inequality on Rie\-man\-nian manifolds

V. S. Desyatka·E. A. Sevost'yanov
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Abstract

We consider open discrete mappings of Riemannian manifolds that satisfy some modulus inequality. We investigate the possibility of a continuous extension of such mappings to an isolated point on the boundary. It is proved that, these mappings have a specified extension, if they omit two or more points of a connected Riemannian manifold, and the majorant participating in the modulus inequality is integrable over almost all spheres.

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V. S. Desyatka, E. A. Sevost'yanov. 2023-09-26. Removable singularities of mappings with inverse Poletksy inequality on Rie\-man\-nian manifolds. https://arxiv.org/abs/2309.15222

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