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BSU bulletin. Mathematics, Informatics

Bibliographic description:
Sharmin V. G.
,
Sharmina T. N.
The curvature of the spherical image of the two-dimensional surface with non-zero torsion in E 4 // BSU bulletin. Mathematics, Informatics. - 2016. №2. . - С. 17-24.
Title:
The curvature of the spherical image of the two-dimensional surface with non-zero torsion in E 4
Financing:
Codes:
DOI: 10.18101/2304-5728-2016-2-17-24UDK: 514.752
Annotation:
The article deals with two-dimensional surface in four-dimensional Euclid- ean 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.
Keywords:
two-dimensional surface, spherical mapping, Gaussian curva- ture, torsion coefficients.
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