Higher order Grassmann fibrations and the calculus of variations

• Autoři: KRUPKA Demeter; KRUPKA Michal
• Rok publikování: 2010
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Balkan Journal of Geometry and its Applications
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Obor: Obecná matematika
• Klíčová slova: Variational theory; velocity bundle; Grassmann bundle; Lepage form
• Popis: Geometric structure of global integral variational functionals on higher order tangent bundles and Grassmann fibrations are investigated. The theory of Lepage forms is extended to these structures. The concept of a Lepage form allows us to introduce the Euler-Lagrange distribution for variational functionals, depending on velocities, in a similar way as in the calculus of variations on fibred manifolds. Integral curves of this distribution include all extremal curves of the underlying variational functional. The generators of the Euler-Lagrange distribution, defined by the Lepage forms of the first order, are found explicitly

Související projekty

• Globální analýza a geometrie fibrovaných prostorů