On singular Lagrangians affine in velocities

Details On singular Lagrangians affine in velocities On singular Lagrangians affine in velocities

2003-02-21

arxiv.org/abs/math-ph/0302052v1

J.Phys.A36:3789-3808,2003

Physics

Mathematical Physics

AMSTeX, 22 pages

Scientific paper

10.1088/0305-4470/36/13/311

The properties of Lagrangians affine in velocities are analyzed in a
geometric way. These systems are necessarily singular and exhibit, in general,
gauge invariance. The analysis of constraint functions and gauge symmetry leads
us to a complete classification of such Lagrangians.

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