Galilean Classification of Curves
classification
🧮 math-ph
math.MP
keywords
galileancurvesgroupspace-timeactioncartanclassificationclassify
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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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