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Autor Muñoz Masqué, Jaime |
Documentos disponibles escritos por este autor (35)
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]