Higher order first integrals of autonomous non-Riemannian dynamical systems

Antonios Mitsopoulos, Michael Tsamparlis, Aniekan Magnus Ukpong

We consider autonomous holonomic dynamical systems defined by equations of the form ${\ddot{q}}^a=-{\Gamma }_{bc}^a(q){\dot{q}}^b{\dot{q}}^c$ $-Q^a(q)$, where ${\Gamma }_{bc}^a(q)$ are the…