Matematičeskie trudy, Tome 13 (2010) no. 2, pp. 3-9
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D. A. Berdinsky. On constant mean curvature surfaces in the Heisenberg group. Matematičeskie trudy, Tome 13 (2010) no. 2, pp. 3-9. http://geodesic.mathdoc.fr/item/MT_2010_13_2_a0/
@article{MT_2010_13_2_a0,
author = {D. A. Berdinsky},
title = {On constant mean curvature surfaces in the {Heisenberg} group},
journal = {Matemati\v{c}eskie trudy},
pages = {3--9},
year = {2010},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2010_13_2_a0/}
}
TY - JOUR
AU - D. A. Berdinsky
TI - On constant mean curvature surfaces in the Heisenberg group
JO - Matematičeskie trudy
PY - 2010
SP - 3
EP - 9
VL - 13
IS - 2
UR - http://geodesic.mathdoc.fr/item/MT_2010_13_2_a0/
LA - ru
ID - MT_2010_13_2_a0
ER -
%0 Journal Article
%A D. A. Berdinsky
%T On constant mean curvature surfaces in the Heisenberg group
%J Matematičeskie trudy
%D 2010
%P 3-9
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/MT_2010_13_2_a0/
%G ru
%F MT_2010_13_2_a0
This work is devoted to the theory of surfaces of constant mean curvature in the three-dimensional Heisenberg group. It is proved that each surface of such a kind locally corresponds to some solution of the system of a sine-Gordon type equation and a first order partial differential equation.
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