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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 8, pp. 1139–1142, August, 2004.
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Romanov, S.S. Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds. Ukr Math J 56, 1358–1361 (2004). https://doi.org/10.1007/s11253-005-0063-4
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DOI: https://doi.org/10.1007/s11253-005-0063-4