Geodesic
An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space $S^3\times \mathbb{R}^1$
Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 833-845

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Bianchi-type transformations are constructed for two-dimensional surfaces with constant negative intrinsic curvature in the space $S^3\times \mathbb{R}^1$.
Mots-clés : Bianchi transformation
Keywords: 2-surface negative intrinsic curvature, pseudospherical surface, pseudospherical congruence, Gaussian curvature, Bäcklund transformation. 
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     author = {V. A. Gorkavyy and E. N. Nevmerzhitskaja},
     title = {An {Analog} of {Bianchi} {Transformations} for {Two-Dimensional} {Surfaces} in the {Space} $S^3\times \mathbb{R}^1$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {833--845},
     publisher = {mathdoc},
     volume = {89},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a3/}
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V. A. Gorkavyy; E. N. Nevmerzhitskaja. An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space $S^3\times \mathbb{R}^1$. Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 833-845. http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a3/