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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2017 Volume 63, Issue 2, Pages 266–277 (Mi cmfd320)

Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds

D. P. Ilyutkoa, E. A. Sevostyanovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, 1 Vorob'evy Gory, 119899 Moscow, Russia
b Zhytomyr Franko State University, 40 Velika Berdichivska, 10008 Zhytomyr, Ukraine

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 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 this point.

UDC: 517.5

DOI: 10.22363/2413-3639-2017-63-2-266-277



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