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

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.

MSC: 53A07

Received: 03.11.2006

Language: English

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