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V. S. Desyatka

Publications and source records attributed to V. S. Desyatka.

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

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.

math.CV↗