Romanov S. S.
Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1139–1142
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.
Ukr. Mat. Zh. - 2004. - 56, № 2. - pp. 276-283
Trajectories on spherical and toroidal manifolds are studied by methods of infinitesimal and global geometry.