Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 133-144
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L. A. Masal'tsev. Bianchi–Li–Backlund transformation in spaces of constant curvature $H^3(-1)$ and $S^3(1)$. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 133-144. http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a8/
@article{JMAG_1997_4_1_a8,
author = {L. A. Masal'tsev},
title = {Bianchi{\textendash}Li{\textendash}Backlund transformation in spaces of constant curvature $H^3(-1)$ and $S^3(1)$},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {133--144},
year = {1997},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a8/}
}
TY - JOUR
AU - L. A. Masal'tsev
TI - Bianchi–Li–Backlund transformation in spaces of constant curvature $H^3(-1)$ and $S^3(1)$
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1997
SP - 133
EP - 144
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a8/
LA - ru
ID - JMAG_1997_4_1_a8
ER -
%0 Journal Article
%A L. A. Masal'tsev
%T Bianchi–Li–Backlund transformation in spaces of constant curvature $H^3(-1)$ and $S^3(1)$
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1997
%P 133-144
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a8/
%G ru
%F JMAG_1997_4_1_a8
Bianchi–Lie–Backlund transformation in space forms $H^3(-1)$ (Poincare model of Lobachevsky space at the upper half-plane) and $S^3(1)$ (spherical space with the Riemann metric) are considered. The conditions defining the transformation in global coordinates and the corresponding differential equations of surfaces of constant external curvature are derived.
