Galilean Isometries

Details Galilean Isometries Galilean Isometries

2009-03-09

arxiv.org/abs/0903.1641v1

Class.Quant.Grav.10:2217-2222,1993

Physics

Mathematical Physics

Plain TeX, 8 pages

Scientific paper

10.1088/0264-9381/10/11/006

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.

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