Dynamical Systems Accepting the Normal Shift

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Newtonian dynamical systems accepting the normal shift on an arbitrary Riemannian manifold are considered. Partial differential equations forming the weak and additional normality conditions for them are reported.
2 pages, AMS-TeX, version 2.1, size 6 Kbytes (ASCII). Report on 16-th joint session of Seminar of I.G. Petrovsky and Moscow Mathematical Society at Moscow State University. January 19, 1994. To be published in: Uspehi Mat. Nauk

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