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A Weyl-geodesic field of cones in a three-dimensional Riemannian space II. First integrals of geodesics |
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| Authors: | O S Germanov |
| Institution: | (1) Nizhnii Novgorod State Pedagogical University, ul. Ul’yanova 1, Nizhni Novgorod, 603950, Russia |
| Abstract: | 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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