Resumen de SOPDEs and nonlinear connections

Narciso Román Roy, Modesto Salgado Seco, Silvia Vilariño Fernández

• The canonical k-tangent structure on T1 kQ = TQ :k: : TQ allows us to characterize nonlinear connections on T1 kQ and to develop G¨unther�s (k-symplectic) Lagrangian formalism. We study the relationship between nonlinear connections and second-order partial differential equations (sopdes), which appear in G¨unther�s Lagrangian formalism.