2023/09/26 by Desyatka, V. S., Sevost'yanov, E. A.
#30C65 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2309.15222
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.