Symmetries, Newtonoids vector fields and conservation laws in the Lagrangian $k$-symplectic formalism

Lucía Bua, Ioan Bucataru, Modesto Salgado

In this paper we study symmetries, Newtonoid vector fields, conservation laws, Noether's Theorem and its converse, in the framework of the $k$-symplectic formalism, using the Fröli…