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Journal of Applied Mathematics and Simulation
Volume 1 (1987), Issue 1, Pages 56-68

The geometrization of Galilei's principle

Dept. of Mathematics, Univerity of Rochester, Rochester 14627, N.Y., USA

Copyright © 1987 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Galilei's fundamental principle is reformulated in terms of abstract geometry and it is generalized to nonlinear and relativistic systems. As a consequence the notion of a general mechanical system is developed and shown to be a universal frame for particle dynamics.