SOPDEs and Nonlinear Connections

Details SOPDEs and Nonlinear Connections SOPDEs and Nonlinear Connections

2011-09-27

arxiv.org/abs/1109.5830v1

Publ. Math. Debrecen 78/2 (2011), 297-316

Physics

Mathematical Physics

14 pp

Scientific paper

10.5486/PMD.2011.4631

The canonical k-tangent structure on $T^1_kQ=TQ\oplus\stackrel{k}...\oplus
TQ$ allows us to characterize nonlinear connections on $T^1_kQ$ 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.

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