Galilean Isometries
Mathematical Physics
2009-04-29 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We introduce three nested Lie algebras of infinitesimal `isometries' of a Galilei space-time structure which play the r\^ole of the algebra of Killing vector fields of a relativistic Lorentz space-time. Non trivial extensions of these Lie algebras arise naturally from the consideration of Newton-Cartan-Bargmann automorphisms.
Cite
@article{arxiv.0903.1641,
title = {Galilean Isometries},
author = {Christian Duval},
journal= {arXiv preprint arXiv:0903.1641},
year = {2009}
}
Comments
Plain TeX, 8 pages