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

Bodrenko Irina Ivanovna
 
Candidate of Physics and Mathematics, Associate Professor, Department of Fundamental Information Science and Optimal Control, Volgograd State University
This email address is being protected from spambots. You need JavaScript enabled to view it.
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.

Creative Commons License
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
Attachments:
Download this file (3_Бодренко.pdf) 3_Бодренко.pdf
URL: https://mp.jvolsu.com/index.php/en/component/attachments/download/278
449 Downloads