Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 266-277
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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.
@article{CMFD_2017_63_2_a3,
author = {D. P. Ilyutko and E. A. Sevostyanov},
title = {Removal of isolated singularities of generalized quasiisometries on {Riemannian} manifolds},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {266--277},
publisher = {mathdoc},
volume = {63},
number = {2},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a3/}
}
TY - JOUR AU - D. P. Ilyutko AU - E. A. Sevostyanov TI - Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds JO - Contemporary Mathematics. Fundamental Directions PY - 2017 SP - 266 EP - 277 VL - 63 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a3/ LA - ru ID - CMFD_2017_63_2_a3 ER -
%0 Journal Article %A D. P. Ilyutko %A E. A. Sevostyanov %T Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds %J Contemporary Mathematics. Fundamental Directions %D 2017 %P 266-277 %V 63 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a3/ %G ru %F CMFD_2017_63_2_a3
D. P. Ilyutko; E. A. Sevostyanov. Removal of isolated singularities of generalized quasiisometries on Riemannian manifolds. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 266-277. http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a3/