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Contemporary Mathematics. Fundamental Directions, 2017, Volume 63, Issue 2, Pages 266–277
DOI: https://doi.org/10.22363/2413-3639-2017-63-2-266-277 (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
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DOI: https://doi.org/10.22363/2413-3639-2017-63-2-266-277
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00378
Ministry of Education and Science of the Russian Federation НШ-7962.2016.1
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. P. Ilyutko, E. A. Sevostyanov, “Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 63, no. 2, Peoples' Friendship University of Russia, M., 2017, 266–277
Citation in format AMSBIB
\Bibitem{IlySev17}
\by D.~P.~Ilyutko, E.~A.~Sevostyanov
\paper Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2017
\vol 63
\issue 2
\pages 266--277
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd320}
\crossref{https://doi.org/10.22363/2413-3639-2017-63-2-266-277}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3717891}
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