Geodesic
Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds
Sbornik. Mathematics, Tome 207 (2016) no. 4, pp. 537-580

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is concerned with problems at the intersection of the theory of spatial quasi-conformal mappings and the theory of Riemann surfaces. Theorems on the local behaviour of one class of open discrete mappings with unbounded coefficient of quasi-conformality, which map between arbitrary Riemannian manifolds, are obtained. Such mappings are also shown to extend to isolated points of the boundary of the domain. Some results on the local behaviour of Sobolev and Orlicz-Sobolev classes are obtained as an application. Bibliography: 52 titles.
Keywords: Riemannian manifold, modulus of families of paths and surfaces, mapping of bounded or finite distortion, local and global behaviour of mappings, Orlicz-Sobolev class. 
@article{SM_2016_207_4_a3,
     author = {D. P. Il'yutko and E. A. Sevost'yanov},
     title = {Open discrete mappings with unbounded coefficient of quasi-conformality on {Riemannian} manifolds},
     journal = {Sbornik. Mathematics},
     pages = {537--580},
     publisher = {mathdoc},
     volume = {207},
     number = {4},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_4_a3/}
}
TY  - JOUR
AU  - D. P. Il'yutko
AU  - E. A. Sevost'yanov
TI  - Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds
JO  - Sbornik. Mathematics
PY  - 2016
SP  - 537
EP  - 580
VL  - 207
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2016_207_4_a3/
LA  - en
ID  - SM_2016_207_4_a3
ER  - 
%0 Journal Article
%A D. P. Il'yutko
%A E. A. Sevost'yanov
%T Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds
%J Sbornik. Mathematics
%D 2016
%P 537-580
%V 207
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2016_207_4_a3/
%G en
%F SM_2016_207_4_a3
D. P. Il'yutko; E. A. Sevost'yanov. Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds. Sbornik. Mathematics, Tome 207 (2016) no. 4, pp. 537-580. http://geodesic.mathdoc.fr/item/SM_2016_207_4_a3/