Displaying similar documents to “Non-holonomic connections on vector bundles. I”

Covariant differentiation of geometric objects

A. Szybiak

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CONTENTSI. Introduction................................................................................................................. 5II. Covariant differentiation in fibre bundles............................................................. 7III. Connection with the Lie derivation....................................................................... 16IV. Connections in the bundles of differential objects........................................... 19V. Definition of the covariant...

Charles Ehresmann's concepts in differential geometry

Paulette Libermann (2007)

Banach Center Publications

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We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.