Geodesic
Fermi--Walker transport and the Weyl connection
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 136-141

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We derive equations relating the Fermi–Walker and the congruent Weyl transports. Using these equations, we show that a non-Abelian gauge field can result in the Thomas precession of a gyroscope. We find solutions to the equations for such a non-Abelian gauge field. 
@article{TMF_1999_119_1_a10,
     author = {B. M. Barbashov and A. B. Pestov},
     title = {Fermi--Walker transport and the {Weyl} connection},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {119},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a10/}
}
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B. M. Barbashov; A. B. Pestov. Fermi--Walker transport and the Weyl connection. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 136-141. http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a10/