ON THE GAUGE STRUCTURE OF THE CALCULUS OF VARIATIONS WITH CONSTRAINTS
2011 ◽
Vol 08
(08)
◽
pp. 1723-1746
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Keyword(s):
A gauge-invariant formulation of constrained variational calculus, based on the introduction of the bundle of affine scalars over the configuration manifold, is presented. In the resulting setup, the "Lagrangian" ℒ is replaced by a section of a suitable principal fiber bundle over the velocity space. A geometric rephrasement of Pontryagin's maximum principle, showing the equivalence between a constrained variational problem in the state space and a canonically associated free one in a higher affine bundle, is proved.
2013 ◽
Vol 28
(01)
◽
pp. 1250234
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Keyword(s):
A Lorentz invariant formulation of the Yang-Mills theory with gauge invariant ghost field Lagrangian
2008 ◽
Vol 2008
(08)
◽
pp. 047-047
◽
2009 ◽
Vol 808
(1-2)
◽
pp. 185-204
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2006 ◽
Vol 643
(3-4)
◽
pp. 205-212
◽
2016 ◽
Vol 8
(1-2)
◽
pp. 21-40
2009 ◽
Vol 812
(1-2)
◽
pp. 46-63
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2007 ◽
Vol 40
(46)
◽
pp. F979-F986
◽