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1990•Journal of Physics A Mathematical and GeneralOpen access

Symmetries and constants of motion for constrained Lagrangian systems: a presymplectic version of the Noether theorem

C. Ferrario, Arianna Passerini

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Abstract

The concept of dynamical symmetry for constrained Lagrangian systems is analysed and generalized. Both the direct and converse Noether theorems are proved for singular Lagrangians.

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The concept of dynamical symmetry for constrained Lagrangian systems is analysed and generalized. Both the direct and converse Noether theorems are proved for singular Lagrangians.

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Available abstract

The concept of dynamical symmetry for constrained Lagrangian systems is analysed and generalized. Both the direct and converse Noether theorems are proved for singular Lagrangians.

Key concepts: Noether's theorem, Converse, Lagrangian, Lagrangian system, Symmetry (geometry), Mathematics, Homogeneous space, Gauge symmetry

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