Geodesic
A Weyl-geodesic field of cones in a three-dimensional Riemannian space. II. First integrals of geodesics
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2008), pp. 85-89.

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We study three-dimensional Riemannian spaces and Weyl spaces such that the geodesic equations admit a first integral of second order. With respect to a special coordinate system, we find objects which completely determine connection of these spaces as well as the integrals.
Keywords: first integral of differential equation, geodesic lines, cone of directions, geodesic field of directions, Riemannian space, Weyl space. 
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O. S. Germanov. A Weyl-geodesic field of cones in a three-dimensional Riemannian space. II. First integrals of geodesics. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2008), pp. 85-89. http://geodesic.mathdoc.fr/item/IVM_2008_4_a8/

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