Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2010), pp. 58-61
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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/
@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/}
}
TY - JOUR
AU - D. A. Grachev
TI - Tensor approach to averaging Jacobi fields along geodesicswith random curvature
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2010
SP - 58
EP - 61
IS - 5
UR - http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a10/
LA - ru
ID - VMUMM_2010_5_a10
ER -
%0 Journal Article
%A D. A. Grachev
%T Tensor approach to averaging Jacobi fields along geodesicswith random curvature
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 58-61
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2010_5_a10/
%G ru
%F VMUMM_2010_5_a10
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.
