Newtonian normal shift in multidimensional Riemannian geometry

preprint2000arXivOpen access

Abstract

Explicit description for arbitrary Newtonian dynamical system admitting the normal shift in Riemannian manifold of the dimension n≥3n\geq 3 is found. On the base of this result the kinematics of normal shift of hypersurfaces along trajectories of such system is studied.

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