Scientific journal "The News of Altai State University". 2004 #1(31). Mathematics and Computer Science.

Scientific journal of the
theoretical and applied
researches

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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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