Open AccessRemoval of Isolated Singularities of Generalized Quasiisometries on Riemannian Manifolds
Author(s) -
Denis Petrovich Ilyutko,
Evgeny Sevost’yanov
Publication year - 2017
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2017-63-2-266-277
Subject(s) - gravitational singularity , mathematics , limit (mathematics) , pure mathematics , point (geometry) , singular point of a curve , mathematical analysis , geometry
For mappings with unbounded characteristics we prove theorems on removal of isolated singularities on Riemannian manifolds. We prove that if a mapping satises certain inequality of absolute values and its quasiconformity characteristic has a majorant of nite average oscillation at a xed singular point, then it has a limit at this point.