2017
Том 69
№ 6

All Issues

Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds

Romanov S. S.

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Abstract

We use toroidal coordinates for the investigation of maximum geodesic trajectories for arbitrary parameters of a torus. Conditions under which trajectories are located in a bounded part of the toroidal manifold are considered. Using global invariants, we construct closed piecewise-maximum geodesic trajectories.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 8, pp 1358-1361.

Citation Example: Romanov S. S. Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds // Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1139–1142.

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