Galilea relativity and its invariant bilinear forms
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We construct the family of bilinear forms gG on R3+1 for which Galilea boosts and spatial rotations are isometries. The key feature of these bilinear forms is that they are parametrized by a Galilea invariant vector whose physical interpretation is rather unclear. At the end of the paper, we construct the Poisson bracket associated to the (nondegenerate) antisymmetric part of gG.
Cite
@article{arxiv.math-ph/0605055,
title = {Galilea relativity and its invariant bilinear forms},
author = {Herintsitohaina Ratsimbarison},
journal= {arXiv preprint arXiv:math-ph/0605055},
year = {2007}
}
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6 pages