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// Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
// Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.,
2019
Volume 169,
Pages
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
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.
UDC:
514.772
,
519.217.13
MSC:
31A10
,
60J60
DOI:
10.36535/0233-6723-2019-169-11-16
Fulltext:
PDF file (176 kB)
References
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Steklov Math. Inst. of RAS
, 2025