STOCHASTIC CRITERION FOR k-MOTION OF A REGULAR SURFACE OF NONZERO MEAN AND SIGN-CONSTANT GAUSSIAN CURVATURES IN THREE-DIMENSIONAL EUCLIDEAN SPACE

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 and phrases: surface bending, stochastic process. AMS Subject Classification: 31A10, 60J60 Dedicated to the 80th Anniversary of Professor V. T. Fomenko
In this paper, we obtain a stochastic criterion for the k-motion of a regular surface of nonzero mean curvature and constant-sign Gaussian curvature in three-dimensional Euclidean space. This paper continues [...]