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Stochastic Criterion for k-Motion of a Regular Surface of Nonzero Mean and Sign-Constant Gaussian Curvatures in Three-Dimensional Euclidean Space

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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.

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    D. S. Klimentov

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  1. D. S. Klimentov
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Correspondence to D. S. Klimentov.

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Dedicated to the 80th Anniversary of Professor V. T. Fomenko

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 169, Proceedings of the International Conference “Geometric Methods in the Control Theory and Mathematical Physics” Dedicated to the 70th Anniversary of Prof. S. L. Atanasyan, 70th Anniversary of Prof. I. S. Krasil’shchik, 70th Anniversary of Prof. A. V. Samokhin, and 80th Anniversary of Prof. V. T. Fomenko. Ryazan State University named for S. Yesenin, Ryazan, September 25–28, 2018. Part II, 2019.

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Klimentov, D.S. Stochastic Criterion for k-Motion of a Regular Surface of Nonzero Mean and Sign-Constant Gaussian Curvatures in Three-Dimensional Euclidean Space. J Math Sci 263, 359–364 (2022). https://doi.org/10.1007/s10958-022-05931-8

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  • DOI: https://doi.org/10.1007/s10958-022-05931-8

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