Displaying similar documents to “On the inverse variational problem in nonholonomic mechanics”

The principle of stationary action in the calculus of variations

Emanuel López, Alberto Molgado, José A. Vallejo (2012)

Communications in Mathematics

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We review some techniques from non-linear analysis in order to investigate critical paths for the action functional in the calculus of variations applied to physics. Our main intention in this regard is to expose precise mathematical conditions for critical paths to be minimum solutions in a variety of situations of interest in Physics. Our claim is that, with a few elementary techniques, a systematic analysis (including the domain for which critical points are genuine minima) of non-trivial...

Locally variational invariant field equations and global currents: Chern-Simons theories

Mauro Francaviglia, M. Palese, E. Winterroth (2012)

Communications in Mathematics

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We introduce the concept of conserved current variationally associated with locally variational invariant field equations. The invariance of the variation of the corresponding local presentation is a sufficient condition for the current beeing variationally equivalent to a global one. The case of a Chern-Simons theory is worked out and a global current is variationally associated with a Chern-Simons local Lagrangian.

f ( R ) theories.

De Felice, Antonio, Tsujikawa, Shinji (2010)

Living Reviews in Relativity [electronic only]

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