Abstract
The concept 1 of a connection on a vector bundle has been approached through various definitions, among which, those of the covariant derivation and of the splitting of a short exact sequence. It is well known that these definitions are equivalent for the finite dimensional bundles but not for the infinite dimensional ones, not even in the Banach case [18].
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© 1999 Springer Science+Business Media Dordrecht
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Papatriantafillou, M.H. (1999). Connections on A-Bundles. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_22
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DOI: https://doi.org/10.1007/978-94-011-5276-1_22
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