Bodrenko I.I. Structure of submanifoulds with cyclic recurrent second fundamental form in euclidean space

Bodrenko Irina Ivanovna

Candidate of Physics and Mathematics, Associate Professor, Chair of Fundamental Information Science and Optimal Control, Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. The structure of n-dimensional submanifoulds with cyclic recurrent second fundamentalform in (n + p)-dimensional Euclidean space is studied in this article.

Key words: second fundamental form, connection of van der Waerden — Bortolotti, submanifold, Riemannian manifold, normal connection.

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Structure of submanifoulds with cyclic recurrent 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. №1 (14) 2011 pp. 10-17

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