First approximation equation for the mean value of the Jacobi field on a pseudo-Riemannian manifold with random metric of special form-Reference-Cited by-同舟云学术

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First approximation equation for the mean value of the Jacobi field on a pseudo-Riemannian manifold with random metric of special form

Published:2008-10 Issue:4 Volume:154 Page:628-640
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Sirotovskii I. Ya.,Rozendorn E. R.,Tennova N. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10958-008-9198-9.pdf

Reference11 articles.

1. D. Gromoll, W. Klingenberg, and W. Meyer, Riemannian Geometry in the Large [Russian translation], Mir, Moscow (1971).

2. A. D. Aleksandrov, Intrinsic Geometry of Convex Surfaces [in Russian], OGIZ, Moscow-Leningrad (1948).

3. A. V. Pogorelov, Extrinsic Geometry of Convex Surfaces [in Russian], Nauka, Moscow (1975).

4. D. Hilbert, Foundations of Geometry [Russian translation], OGIZ, Moscow (1948).

5. V. G. Lamburt, D. D. Sokoloff, and V. N. Tutubalin, “Jacobi fields along a geodesic with random curvature,” Mat. Zametki, 74, No. 3, 416–424 (2003).

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