Geodesic
Tensor approach to averaging Jacobi fields along geodesicswith random curvature
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 58-61
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The paper considers a Jacobi field along a geodesic on a Riemannian manifold on which the curvature is a stochastic process. We introduce the concept of a linearizing tensor formiung the base of derivation of the equations for $2$, $3$ and $4$-order moments. A theorem on the general form of the moment equation is proved. 
@article{VMUMM_2010_5_a10,
     author = {D. A. Grachev},
     title = {Tensor approach to averaging {Jacobi} fields along geodesicswith random curvature},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {58--61},
     year = {2010},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a10/}
}
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%T Tensor approach to averaging Jacobi fields along geodesicswith random curvature
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 58-61
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%U http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a10/
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D. A. Grachev. Tensor approach to averaging Jacobi fields along geodesicswith random curvature. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 58-61. http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a10/