Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 605-615
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V. V. Dumkin; V. G. Sheretov. Teikhmyuller problem for one class of open Riemannian surfaces. Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 605-615. http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a8/
@article{MZM_1970_7_5_a8,
author = {V. V. Dumkin and V. G. Sheretov},
title = {Teikhmyuller problem for one class of open {Riemannian} surfaces},
journal = {Matemati\v{c}eskie zametki},
pages = {605--615},
year = {1970},
volume = {7},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a8/}
}
TY - JOUR
AU - V. V. Dumkin
AU - V. G. Sheretov
TI - Teikhmyuller problem for one class of open Riemannian surfaces
JO - Matematičeskie zametki
PY - 1970
SP - 605
EP - 615
VL - 7
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a8/
LA - ru
ID - MZM_1970_7_5_a8
ER -
%0 Journal Article
%A V. V. Dumkin
%A V. G. Sheretov
%T Teikhmyuller problem for one class of open Riemannian surfaces
%J Matematičeskie zametki
%D 1970
%P 605-615
%V 7
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a8/
%G ru
%F MZM_1970_7_5_a8
A particular solution is given to the Teikhmyuller problem on minimizing the deviation $K[f]$ in the homotopic class $\alpha$, preserving the orientation of the quasiconformal homeomorphism $h: S_0\to S$, where $S_0$ and $S$ are open Riemannian surfaces of infinite kind. Some properties of the complex characteristic of the solution are studied.
