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arxiv: 1109.5830 · v1 · pith:EL3RCTVYnew · submitted 2011-09-27 · 🧮 math-ph · math.MP

SOPDEs and Nonlinear Connections

classification 🧮 math-ph math.MP
keywords connectionsnonlinearformalismlagrangianoplussopdesuntherallows
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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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