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Matematicheskie Zametki, 2003, Volume 74, Issue 3, Pages 416–424
DOI: https://doi.org/10.4213/mzm275 (Mi mzm275) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Jacobi Fields along a Geodesic with Random Curvature

V. G. Lamburt, D. D. Sokolov, V. N. Tutubalin

M. V. Lomonosov Moscow State University
Full-text PDF (220 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm275
Abstract: A notion of a renewable geodesic on which the curvature is a random process is introduced. It is shown that the modulus of the Jacobi field along such a geodesic grows exponentially. At the same time, the existence with probability 1 of infinitely many conjugate points is demonstrated.
Received: 25.04.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 3, Pages 393–400
DOI: https://doi.org/10.1023/A:1026162920287
Bibliographic databases:
UDC: 514.74
Language: Russian
Citation: V. G. Lamburt, D. D. Sokolov, V. N. Tutubalin, “Jacobi Fields along a Geodesic with Random Curvature”, Mat. Zametki, 74:3 (2003), 416–424; Math. Notes, 74:3 (2003), 393–400
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
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