Newtonian normal shift in multidimensional Riemannian geometry

Details Newtonian normal shift in multidimensional Riemannian geometry Newtonian normal shift in multidimensional Riemannian geometry

2000-06-19

arxiv.org/abs/math/0006125v1

Mathematics

Differential Geometry

AmSTeX, 38 pages, amsppt style

Scientific paper

Explicit description for arbitrary Newtonian dynamical system admitting the
normal shift in Riemannian manifold of the dimension $n\geq 3$ 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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