Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/