The curvature of the spherical image of the two-dimensional surface with non-zero torsion in E4

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The article deals with two-dimensional surface in four-dimensional Euclidean space. We study the properties of the spherical image of these surfaces. In particular, the formula is obtained, which can be used to calculate the curvature of the spherical image of the surface by the geometrical characteristics of the original surface.

Two-dimensional surface, spherical mapping, gaussian curvature, torsion coefficients

Короткий адрес: https://sciup.org/14835175

IDR: 14835175   |   DOI: 10.18101/2304-5728-2016-2-17-24

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