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Matematicheskie Zametki, 2011, Volume 89, Issue 6, Pages 833–845
DOI: https://doi.org/10.4213/mzm8630 (Mi mzm8630) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space $S^3\times \mathbb{R}^1$

V. A. Gorkavyy, E. N. Nevmerzhitskaja

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (514 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8630
Abstract: Bianchi-type transformations are constructed for two-dimensional surfaces with constant negative intrinsic curvature in the space $S^3\times \mathbb{R}^1$.
Keywords: Bianchi transformation, 2-surface negative intrinsic curvature, pseudospherical surface, pseudospherical congruence, Gaussian curvature, Bäcklund transformation.
Received: 30.11.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 799–809
DOI: https://doi.org/10.1134/S000143461105021X
Bibliographic databases:
Document Type: Article
UDC: 514
Language: Russian
Citation: V. A. Gorkavyy, E. N. Nevmerzhitskaja, “An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space $S^3\times \mathbb{R}^1$”, Mat. Zametki, 89:6 (2011), 833–845; Math. Notes, 89:6 (2011), 799–809
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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