This article is cited in 2 scientific papers (total in 2 papers)
An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space S 3 × R 1
V. A. Gorkavyy , E. N. Nevmerzhitskaja B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Abstract:
Bianchi-type transformations are constructed for two-dimensional surfaces with constant negative intrinsic curvature in the space S 3 × R 1 .
Keywords:
Bianchi transformation, 2-surface negative intrinsic curvature, pseudospherical surface, pseudospherical congruence, Gaussian curvature, Bäcklund transformation.
Received: 30.11.2009
Citation:
V. A. Gorkavyy, E. N. Nevmerzhitskaja, “An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space S 3 × R 1 ”, Mat. Zametki , 89 :6 (2011), 833–845 ; Math. Notes , 89 :6 (2011), 799–809
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https://www.mathnet.ru/eng/mzm8630 https://doi.org/10.4213/mzm8630 https://www.mathnet.ru/eng/mzm/v89/i6/p833
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