Tensor approach to averaging Jacobi fields along geodesicswith random curvature |
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Authors: | D. A. Grachev |
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Affiliation: | 1.Faculty of Physics,Moscow State University,Leninskie Gory, Moscow,Russia |
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Abstract: | The paper considers the Jacobi field along a geodesic on a Riemannian manifold on which the curvature is a stochastic process. The author introduces the concept of a linearizing tensor forming the base for obtaining equations for the 2-, 3- and 4-order moments. A theorem on the general form of the moment equation is proved. |
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