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Autor Castrillón López, Marco |
Documentos disponibles escritos por este autor (60)
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El objetivo principal de esta memoria ha sido el estudio y caracterización de las formas gauge invariantes en el fibrado de las conexiones CP de un fibrado principal. Aprovechando la identificación entre CP y el cociente del fibrado de jets J1P [...]texto impreso
The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally reductive spaces with the real line and new families of indecomposa[...]texto impreso
Let ?:P?M be a principal SU(2)-bundle, let autP [resp. gauP?autP] be the Lie algebra [resp. the ideal] of all G-invariant [resp. G-invariant ?-vertical] vector fields in X(P), and let p:C(P)?M be the bundle of connections of P. A differential fo[...]texto impreso
Let ?:P?M be a principal G-bundle. Then one can consider the following diagram of fibre bundles: \CD J^{1}(P) @> \pi_{10}> > P\\ @VqVV @VV\pi V\\ C(P) @> p> > M\endCD where p is the bundle of connections of ?. As is well known, q is also a pri[...]texto impreso
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 t[...]texto impreso
The structure of the algebra of gauge-invariant differential forms on the bundle C × ME is determined, where p:C?M is the bundle of connections of a U(1) principal bundle ? : P?M, and E?M is the associated bundle to P by the representation ?r, r[...]texto impreso
Let ?:P?M be a principal G-bundle. One denotes by J1P the 1-jet bundle of local sections of ?, by autP the Lie algebra of G-invariant vector fields of P and by gauP the ideal of ?-vertical vector fields in autP. A differential form ? on J1P is s[...]texto impreso
Let C ? M be the bundle of connections of a principal G-bundle P ? M over a pseudo-Riemannian manifold (M,g) of signature (n+, n?) and let E ? M be the associated bundle with P under a linear representation of G on a finite-dimensional vector sp[...]texto impreso
The paper presents some basic facts concerning the formulation of the gauge invariance property of the electromagnetic field in terms of differentiable manifolds. For example, the gauge potentials are identified as differential one-forms on the [...]texto impreso
One of the classical problems in the theory of variational calculus is the so-called equivalence problem, which studies whether two Lagrangians L, L?, defined in the 1-jet prolongation of a given bundle, determine the same variational problem. T[...]texto impreso
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Let C?M be the bundle of connections of a principal bundle on M . The solutions to Hamilton–Cartan equations for a gauge-invariant Lagrangian density ? on C satisfying a weak condition of regularity, are shown to admit an affine fibre-bundle [...]texto impreso
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Let p:E?M be a vector bundle of dimension n+m and (x?,yi), ?=1,…,n, i=1,…,m, be fibre coordinates. A vertical vector field X on E is said to be algebraic [respectively, algebraic homogeneous of degree d] if its coordinate expression is of the ty[...]