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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Local and global existence theorems on the ruled surfaces with a constant ratio of the Gaussian curvature and Gaussian torsion are proved.
@article{JMAG_2008_4_3_a3,
     author = {O. A. Goncharova},
     title = {Ruled surfaces in $E^4$ with constant ratio of the {Gaussian} curvature and {Gaussian} torsion},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {371--379},
     year = {2008},
     volume = {4},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a3/}
}
TY  - JOUR
AU  - O. A. Goncharova
TI  - Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2008
SP  - 371
EP  - 379
VL  - 4
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a3/
LA  - en
ID  - JMAG_2008_4_3_a3
ER  - 
%0 Journal Article
%A O. A. Goncharova
%T Ruled surfaces in $E^4$ with constant ratio of the Gaussian curvature and Gaussian torsion
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2008
%P 371-379
%V 4
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a3/
%G en
%F JMAG_2008_4_3_a3
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/

[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