Bodrenko I.I. On hypersurfaces with cyclic recurrent the second fundamental form in Euclidean space

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Bodrenko Irina Ivanovna
 
Candidate of Physics and Mathematics, Associate Professor, Department of Fundamental Information Science and Optimal Control, Volgograd State University
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Prospekt Universitetskij, 100, 400062 Volgograd, Russian Federation
 
Abstract. In this article, author proved the following statement: any nondegenerate n-dimensional (n ≥ 2) hypersurface of the second order in (n+1)-dimensional Euclidean space has cyclic recurrent the second fundamental form.
 
Key words: second fundamental form, connection of van der Waerden — Bortolotti.

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On hypersurfaces with cyclic recurrent the second fundamental form in Euclidean space by Bodrenko I.I. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. Issue 13 2010 pp. 23-35
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