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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 169, Pages 11–16
DOI: https://doi.org/10.36535/0233-6723-2019-169-11-16 (Mi into509) 		 
Stochastic criterion for $k$-motion of a regular surface of nonzero mean and sign-constant gaussian curvatures in three-dimensional Euclidean space

D. S. Klimentov

Southern Federal University, Rostov-on-Don
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DOI: https://doi.org/10.36535/0233-6723-2019-169-11-16
Abstract: In this paper, we obtain a stochastic criterion for the $k$-motion of a regular two-dimensional surface in three-dimensional Euclidean space—a stochastic analog of the main theorem of bending theory.
Keywords: surface bending, stochastic process.
Document Type: Article
UDC: 514.772, 519.217.13
MSC: 31A10, 60J60
Language: Russian
Citation: D. S. Klimentov, “Stochastic criterion for $k$-motion of a regular surface of nonzero mean and sign-constant gaussian curvatures in three-dimensional Euclidean space”, Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 169, VINITI, Moscow, 2019, 11–16
Citation in format AMSBIB
\Bibitem{Kli19}
\by D.~S.~Klimentov
\paper Stochastic criterion for $k$-motion of a regular surface of nonzero mean and sign-constant gaussian curvatures in three-dimensional Euclidean space
\inbook Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25--28, 2018. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 169
\pages 11--16
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into509}
\crossref{https://doi.org/10.36535/0233-6723-2019-169-11-16}
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