On regularization of variational problems in first-order field theory
Krupková, Olga, Smetanová, Dana
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Krupková, Olga, Smetanová, Dana
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Demeter Krupka, Abdurasoul Èzbekhovich Sattarov (1985)
Mathematica Slovaca
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Ján Brajerčík (2011)
Czechoslovak Mathematical Journal
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Let be a principal bundle of frames with the structure group . It is shown that the variational problem, defined by -invariant Lagrangian on , can be equivalently studied on the associated space of connections with some compatibility condition, which gives us order reduction of the corresponding Euler-Lagrange equations.