Gauge transformations for higher-order lagrangians

Abstract

Noether's symmetry transformations for higher-order lagrangians are studied. A characterization of these transformations is presented, which is useful to find gauge transformations for higher-order singular lagrangians. The case of second-order lagrangians is studied in detail. Some examples that illustrate our results are given; in particular, for the lagrangian of a relativistic particle with curvature, lagrangian gauge transformations are obtained, though there are no hamiltonian gauge generators for them.

22 pages, LaTeX

References in corpus (2)

• W-symmetry and the rigid particle
• On W_3-morphisms and the Geometry of Plane Curves

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