Geodesic
Extrinsic geometric properties of the Rozendorn surface,
Sbornik. Mathematics, Tome 200 (2009) no. 11, pp. 1575-1586

Voir la notice de l'article provenant de la source Math-Net.Ru

The lengths of the normal curvature vectors on the Rozendorn surface $F^2$ are shown to be uniformly bounded above on the whole of the surface. A regular three-dimensional submanifold $F^3$, $F^2\subset F^3 \subset E^5$, is constructed in the form of a regular leaf whose sectional curvatures in the two-dimensional directions tangent to $F^2$ are strictly negative and bounded away from zero. Bibliography: 9 titles.
Keywords: ellipse of normal curvature, normal connection, sectional curvature. 
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     author = {Yu. A. Aminov},
     title = {Extrinsic geometric properties of the {Rozendorn} surface,},
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Yu. A. Aminov. Extrinsic geometric properties of the Rozendorn surface,. Sbornik. Mathematics, Tome 200 (2009) no. 11, pp. 1575-1586. http://geodesic.mathdoc.fr/item/SM_2009_200_11_a0/