SOPDEs and nonlinear connections

• Autores: Narciso Román Roy , Modesto Salgado Seco , Silvia Vilariño Fernández
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 297-316
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4631
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• Resumen

  • 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.