W. Sarlet, M. Crampin
Abstract
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It is shown that higher-order Noether symmetries of Lagrangian systems, as introduced by Sarlet and Cantrijn (1981), can be transformed to ordinary Noether symmetries by an approximate type (1,1) tensor field.
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It is shown that higher-order Noether symmetries of Lagrangian systems, as introduced by Sarlet and Cantrijn (1981), can be transformed to ordinary Noether symmetries by an approximate type (1,1) tensor field.
Key concepts: Noether's theorem, Homogeneous space, Lagrangian, Tensor (intrinsic definition), Order (exchange), Mathematical physics, Field (mathematics), Type (biology)