SOPDEs and Nonlinear Connections

Abstract

The canonical k-tangent structure on $T_k^{1}Q=TQ\oplus \stackrel{k}{.}..\oplus TQ$ allows us to characterize nonlinear connections on $T_k^{1}Q$ and to develop Günther's (k-symplectic) Lagrangian formalism. We study the relationship between nonlinear connections and second-order partial differential equations (SOPDEs), which appear in Günther's Lagrangian formalism.

14 pp

Cited by in corpus (1)

• Symmetry reduction, integrability and reconstruction in k-symplectic field theory