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Castrillón López, Marco and Muñoz Masqué, Jaime and Ratiu, T.
(2003)
*Gauge invariance and variational trivial problems on the bundle of connections.*
Differential Geometry and Its Applications, 19
(2).
pp. 127-145.
ISSN 0926-2245

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Restringido a Repository staff only 196kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0926224503000160

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http://www.sciencedirect.com/ | Publisher |

## Abstract

Given a principal bundle P→M we classify all first order Lagrangian densities on the bundle of connections associated to P that are invariant under the Lie algebra of infinitesimal automorphisms. These are shown to be variationally trivial and to give constant actions that equal the characteristic numbers of P if dimM is even and zero if dimM is odd. In addition, we show that variationally trivial Lagrangians are characterized by the de Rham cohomology of the base manifold M and the characteristic classes of P of arbitrary degree

Item Type: | Article |
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Uncontrolled Keywords: | Characteristic classes; Connections on a principal bundle; Euler–Lagrange equations; Gauge invariance; Infinitesimal symmetries; Jet bundles; Lagrangians; Lie algebra representations; Weil polynomials |

Subjects: | Sciences > Mathematics > Differential geometry |

ID Code: | 23326 |

Deposited On: | 22 Oct 2013 17:39 |

Last Modified: | 12 Dec 2018 15:13 |

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