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Autor Muñoz Masqué, Jaime |
Documentos disponibles escritos por este autor (35)
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Higher-order Lagrangians on T*(M) invariant under the natural representation of gauge fields of M x U(1) on the cotangent bundle are determined.![]()
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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[...]![]()
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It is proved that the Euler–Lagrange equations of a Yang-Mills type Lagragian is independent with respect to the chosen pairing in the Lie algebra. Moreover, the Hamilton- Cartan equations of these Lagrangians are obtained and proved to be also [...]![]()
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We summarize und analyze several results concerning the variational character of a set of first order quasi-linear PDEs. A local characterization of the problem is given, and the global obstructions to the problem are obtained.![]()
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Let M be a smooth oriented connected n-dimensional manifold and let M be the space of pseudo-Riemannian metrics on M of a given signature (n+,n?),n++n?=n> 1. A system of n metric invariants is attached to each metric in M, called the Ricci invar[...]![]()
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Let P ? M be a principal G-bundle over a pseudo-Riemannian manifold (M, g). If G is semisimple, the Euler-Lagrange and the Hamilton-Cartan equations of the Yang-Mills Lagrangian defined by g are proved to remain unchanged if the Cartan-Killing m[...]![]()
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The moduli space of jets of G-structures admitting a canonical linear connection is shown to be isomorphic to the quotient by G of a natural G-module.![]()
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The deparametrization problem for parameter-invariant Lagrangian densities defined over J(1)(N, F), is solved in terms of a projection onto a suitable jet bundle. The Hamilton-Cartan formalism for such Lagrangians is then introduced and the pre-[...]![]()
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A projection is defined such that a second-order Lagrangian density factors through this projection module contact forms if and only if it is parameter invariant. In this way, a geometric interpretation of the parameter invariance conditions is [...]![]()
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The notion of a projective parallelism either on a differentiable or on a complex analytic manifold $M$ is introduced and its topological invariants and cohomological obstructions are studied. In the complex case a canonical linear connection is[...]![]()
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Muñoz Masqué, Jaime ; Valdés Morales, Antonio | Università degli Studi di Roma "La Sapienza". Dipartamento di Matematica | 1997Let M be an n -dimensional manifold, ?:F(M)?M the linear frame bundle, and G a closed subgroup of GL(n,R) . As is known, there is a one-to-one correspondence between the G -structures on M and the sections of the bundle ? ¯ :F(M)/G?M . A fun[...]![]()
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Basic results on gauge invariance of differential forms on the bundle of connections of an arbitrary principal U(1)-bundle and its associated bundles, are reviewed in terms of the underlying geometry to such bundles, within the framework of clas[...]![]()
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We prove that on the bundle of connections of an arbitrary principal bundle ?: P ? M there exists a canonical differential 2--form taking values in the adjoint bundle ;ing: adg:: ad P ? M which defines a generalized symplectic structure and whic[...]![]()
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Parameter invariance of the variational problem associated to the squared curvature Lagrangian, whose extremals are the elasticae, allows us to find an equivalent,nonparametric variational problem which is regular. Hamiltonian formalism is then [...]![]()
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The number of functionally independent scalar invariants of arbitrary order of a generic pseudo-Riemannian metric on an n-dimensional manifold is determined.