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arXiv · 0903.1641

Galilean Isometries

Christian Duval
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Abstract

We introduce three nested Lie algebras of infinitesimal `isometries' of a Galilei space-time structure which play the rôle 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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Christian Duval. 2009-03-09. Galilean Isometries. https://doi.org/10.1088/0264-9381%2F10%2F11%2F006

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