Geodesic
Stochastic criterion for $k$-motion of a regular surface of nonzero mean and sign-constant gaussian curvatures in three-dimensional Euclidean space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 169 (2019), pp. 11-16.

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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. 
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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. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 169 (2019), pp. 11-16. http://geodesic.mathdoc.fr/item/INTO_2019_169_a1/

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