Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift

Abstract

The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force field of metrizable Newtonian dynamical system $\ddot\bold r=\bold F(\bold r,\dot\bold r)$ is found.

8 pages (26 Kbytes), AmS-TeX, version 2.1. To be published in Theor. and Math. Phys. (Russian)

References in corpus (1)

• Dynamical Systems Accepting the Normal Shift

Cited by in corpus (8)

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• Complete normality conditions for the dynamical systems on Riemannian manifolds
• Normal shift in general Lagrangian dynamics
• Tensor functions of tensors and the concept of extended tensor fields
• Foundations of geometry for university students and high-school students