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Sbornik: Mathematics, 2005, Volume 196, Issue 10, Pages 1473–1493
DOI: https://doi.org/10.1070/SM2005v196n10ABEH003708 (Mi sm1426) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Bianchi congruences of two-dimensional surfaces in $E^4$

V. A. Gorkavyy

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
English version PDF (256 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM2005v196n10ABEH003708
Abstract: Pseudospherical Bianchi congruences in Euclidean 4-space $E^4$ are considered. The focal surfaces of such congruences are shown to have a constant negative Gaussian curvature. A geometric and an analytic description of special pseudo-spherical surfaces in $E^4$ admitting a Bianchi congruence are obtained.
Received: 17.05.2004 and 15.04.2005
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 10, Pages 79–102
DOI: https://doi.org/10.4213/sm1426
Bibliographic databases:
UDC: 514
MSC: Primary 53A07, 53A25; Secondary 37K35
Language: English
Original paper language: Russian
Citation: V. A. Gorkavyy, “Bianchi congruences of two-dimensional surfaces in $E^4$”, Mat. Sb., 196:10 (2005), 79–102; Sb. Math., 196:10 (2005), 1473–1493
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:482
    Russian version PDF:199
    English version PDF:7
    References:45
    First page:1
     
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