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The News of Altai State University
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Content of 1(31) 2004
Mathematics and Computer Science
Physics
 
1(31)2004
Mathematics and Computer Science

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M.A. Cheshkova

About one character minimal hypersurface in Euclidean space E4

Let M is a minimal hypersurface in Euclidean space E4 and lines of curvature form holonomic net. The curve is isoclin, if it form equal angles of lines of curvature. If M is the minimal hypersurface, then isoclin curve is asymptotic.
Theorem. If two isoclin acymptotic curves are straight lines, then hypersurface M is cylinder off the helicoid.

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