Variational principle for the Finslerian extension of general relativity.
G.S. Asanov (1982)
Aequationes mathematicae
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Displaying similar documents to “Differential-geometric and variational background of classical gauge field theories.”
Variational principle for the Finslerian extension of general relativity.
Gauge-natural field theories and Noether theorems: canonical covariant conserved currents
Palese, Marcella, Winterroth, Ekkehart
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Summary: We specialize in a new way the second Noether theorem for gauge-natural field theories by relating it to the Jacobi morphism and show that it plays a fundamental role in the derivation of canonical covariant conserved quantities. In particular we show that Bergmann-Bianchi identities for such theories hold true covariantly and canonically only along solutions of generalized gauge-natural Jacobi equations. Vice versa, all vertical parts of gauge-natural lifts of infinitesimal...
Discrete Variational Green's Function. I.
Philippe G. Ciarlet (1970)
Aequationes mathematicae
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A Canonical Formalism for Multiple Integral Problems in the Calculus of Variations.
Hanno Rund (1969)
Aequationes mathematicae
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Gauge complex field theory.
Munteanu, Gheorghe, Iordăchiescu, Bianca (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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First Integrals in the Discrete Variational Calculus
JOHN DAVID LOGAN (1973)
Aequationes mathematicae
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Conservation criteria, canonical transformations, and integral invariants in the field theory of Carathéodory for multiple integral variational problems.
Hanno Rund (1975)
Aequationes mathematicae
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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.