Existence and uniqueness of maps into affine homogeneous spaces

J. H. Eschenburg; R. Tribuzy

Displaying similar documents to “Existence and uniqueness of maps into affine homogeneous spaces”

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

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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,...

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K. Guruprasad, Shrawan Kumar (1990)

Compositio Mathematica

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Affine connections in terms of the tangent bundle

Griffin, J.S. jr. (1957)

Portugaliae mathematica

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Jet involution and prolongations of connections

Marco Modugno (1989)

Časopis pro pěstování matematiky

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Connections on distributional bundles

Daniel Canarutto (2004)

Rendiconti del Seminario Matematico della Università di Padova

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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...