Newtonian normal shift in multidimensional Riemannian geometry

R. A. Sharipov

Sbornik. Mathematics, Tome 192 (2001) no. 6, pp. 895-932

Résumé

An explicit description of all Newtonian dynamical systems admitting normal shift in Riemannian manifolds of dimension $n\geqslant 3$ is obtained. On this basis the kinematics of the normal shift of hypersurfaces along trajectories of such dynamical systems is studied.

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