The problem of estimating the curvature of the level line under conformal mappings of a~circle
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 5-17
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A task about finding an exact upper estimate for the curvature of level lines on the class $S$ of univalent holomorphic mappings from a unit circle $S$ is justified as a topical one and its well-known partial solutions for subclasses of mappings from $S$ are presented.
Keywords:
conformal mapping, level line, curvature, method of internal variations.
@article{VTGU_2013_6_a0,
author = {I. A. Aleksandrov and S. A. Kopanev},
title = {The problem of estimating the curvature of the level line under conformal mappings of a~circle},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {5--17},
publisher = {mathdoc},
number = {6},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_6_a0/}
}
TY - JOUR AU - I. A. Aleksandrov AU - S. A. Kopanev TI - The problem of estimating the curvature of the level line under conformal mappings of a~circle JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 5 EP - 17 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2013_6_a0/ LA - ru ID - VTGU_2013_6_a0 ER -
%0 Journal Article %A I. A. Aleksandrov %A S. A. Kopanev %T The problem of estimating the curvature of the level line under conformal mappings of a~circle %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2013 %P 5-17 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTGU_2013_6_a0/ %G ru %F VTGU_2013_6_a0
I. A. Aleksandrov; S. A. Kopanev. The problem of estimating the curvature of the level line under conformal mappings of a~circle. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 5-17. http://geodesic.mathdoc.fr/item/VTGU_2013_6_a0/