Galilean Classification of Curves

Details Galilean Classification of Curves Galilean Classification of Curves

2007-11-13

arxiv.org/abs/0711.1979v1

Physics

Mathematical Physics

10 pages

Scientific paper

In this paper, we classify space-time curves up to Galilean group of
transformations with Cartan's method of equivalence. As an aim, we elicit
invariats from action of special Galilean group on space-time curves, that are,
in fact, conservation laws in physics. We also state a necessary and sufficient
condition for equivalent Galilean motions.

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