The Problem of Invariance for Covariant hamiltonians

Jaime Muñoz Masqué; M. Eugenia Rosado María

Displaying similar documents to “The Problem of Invariance for Covariant hamiltonians”

Tensor fields defining a tangent bundle structure

Sergio de Filippo, Giovanni Landi, Giuseppe Marmo, Gaetano Vilasi (1989)

Annales de l'I.H.P. Physique théorique

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Natural operators in the view of Cartan geometries

Martin Panák (2003)

Archivum Mathematicum

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We prove, that $r$ -th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order $(1, 0)$ (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order $r - 1$ . On the course to this result we also prove that the invariant derivations (a generalization of the covariant derivation for Cartan geometries) of the curvature function of a Cartan connection have the tensor character. A modification of the theorem...

The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles

Charles-Michel Marle (2007)

Banach Center Publications

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Around 1923, Élie Cartan introduced affine connections on manifolds and defined the main related concepts: torsion, curvature, holonomy groups. He discussed applications of these concepts in Classical and Relativistic Mechanics; in particular he explained how parallel transport with respect to a connection can be related to the principle of inertia in Galilean Mechanics and, more generally, can be used to model the motion of a particle in a gravitational field. In subsequent papers,...

Connections on higher order principal prolongations

Vašík, Petr

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Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.

Dynamical connections and non-autonomous lagrangian systems

Manuel De León, Paulo R. Rodrigues (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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