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Autor Muñoz Masqué, Jaime |
Documentos disponibles escritos por este autor (35)
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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.![]()
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The total curvature of C2 curves embedded in an arbitrary Riemannian manifold is shown to be the limit of the curvatures of inscribed geodesic polygons. The formula for the total curvature of a curve as the least upper bound of curvatures of ins[...]![]()
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Castrillón López, Marco ; Muñoz Masqué, Jaime ; Ratiu, T.S. | Institute of Mathematics and Informatics | 2001Let ?:P?M be a principal G-bundle and p:C?M the bundle of connections on ?. In the present paper the authors study variational problems defined by Lagrangians L:J1C?R. The starting point is the classical theorem of Utiyama which characterizes th[...]![]()
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Lagrangians are investigated which are defined on the product of the cotangent bundle of a manifold and a vector space, where the vector space is the representation space of a linear representation of the group U(1) as the gauge group. It is sho[...]![]()
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The notion of unrolling of a spherical curve is proved to coincide with its development into the tangent plane. The development of a curve in an arbitrary surface in the Euclidean 3-space is then studied from the point of view of unrolling. The [...]![]()
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Grifone, Joseph ; Muñoz Masqué, Jaime ; Pozo Coronado, Luis Miguel | Institute of Mathematics and Informatics.University of Debrecen | 2001The systems of first-order quasilinear partial differential equations defined on the 1-jet bundle of a fibred manifold which come from a variational problem defined by an affine Lagrangian are characterized by means of the Hamilton-Cartan formal[...]