Geodesic
Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 3, pp. 371-379 
O. A. Goncharova. Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 3, pp. 371-379. http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a3/
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     title = {Ruled surfaces in $E^4$ with constant ratio of the {Gaussian} curvature and {Gaussian} torsion},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Local and global existence theorems on the ruled surfaces with a constant ratio of the Gaussian curvature and Gaussian torsion are proved.

[1] Yu. A. Aminov, “Surfaces in $E^4$ with Gaussian Curvature Coinciding with Gaussian Torsion up to the Sign”, Math. Notes, 56:6 (1994), 1211–1215 | DOI | MR | Zbl

[2] O. A. Goncharova, “Ruled surfaces in $E^n$”, J. Math. Phys., Anal., Geom., 2 (2006), 40–61 (Russian) | MR | Zbl

[3] Yu. A. Aminov, Differential Geometry and Topology of Curves, Gordon and Breach Sci. Publ., Amsterdam, 2000 | MR

[4] O. A. Goncharova, “Standard Ruled Surfaces in $E^n$”, Dop. NAN Ukr., 3 (2006), 7–12 (Russian) | MR | Zbl