Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 3, Pages 371–379 (Mi jmag103)  
Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion

O. A. Goncharova

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
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Abstract: Local and global existence theorems on the ruled surfaces with a constant ratio of the Gaussian curvature and Gaussian torsion are proved.
Key words and phrases: ruled surfaces, Gaussian curvature, Gaussian torsion.
Received: 03.11.2006
Bibliographic databases:
Document Type: Article
MSC: 53A07
Language: English
Citation: O. A. Goncharova, “Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion”, Zh. Mat. Fiz. Anal. Geom., 4:3 (2008), 371–379
Citation in format AMSBIB
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\by O.~A.~Goncharova
\paper Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2008
\vol 4
\issue 3
\pages 371--379
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2444109}
\zmath{https://zbmath.org/?q=an:1161.53004}
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