SOPDES and nonlinear connections

作者：Roman Roy Narciso^*; Salgado Modesto; Vilarino Silvia

来源：Publicationes Mathematicae-Debrecen, 2011, 78(2): 297-316.

DOI：10.5486/PMD.2011.4631

• SOPDE
• nonlinear connection

The canonical k-tangent structure on T(k)(1)Q = TQ circle plus ...(k) circle plus TQ allows us to characterize nonlinear connections on T(k)(1)Q and to develop Gunther's (k-symplectic) Lagrangian formalism. We study the relationship between nonlinear connections and second-order partial differential equations (SOPDES), which appear in Gunther's Lagrangian formalism.

• 出版日期2011-1