Abstract
For mappings with unbounded characteristics, we prove theorems on removal of isolated singularities on Riemannian manifolds. We prove that if a mapping satisfies certain prototype inequality of absolute values and its quasiconformity characteristic has a majorant of finite average oscillation at a fixed singular point, then it has a limit at that point.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 63, No. 2, Proceedings of the Crimean Autumn Mathematical School-Symposium, 2017.
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Ilyutko, D.P., Sevostyanov, E.A. Removal of Isolated Singularities of Generalized Quasiisometries on Riemannian Manifolds. J Math Sci 250, 611–621 (2020). https://doi.org/10.1007/s10958-020-05031-5
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DOI: https://doi.org/10.1007/s10958-020-05031-5