In this paper, we perform a general reduction of an M2-brane on space–time that admits null Killing vector leading to fundamental string and D2-brane action in Newton–Cartan background.

Several interesting physical systems, such as the Lovelock extension of general relativity in higher dimensions, classical time crystals, $k$-essence fields, Horndeski theories, compressible fluids, and nonlinear electrodynamics, have apparent ill-defined sympletic structures, due to fact that their Hamiltonians are multivalued functions momenta. In this paper, dynamical evolution generated by ...