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Connections on A-Bundles

In: New Developments in Differential Geometry, Budapest 1996

Author

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  • Maria H. Papatriantafillou

    (University of Athens Panepistimiopolis, Department of Mathematics)

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].

Suggested Citation

  • Maria H. Papatriantafillou, 1999. "Connections on A-Bundles," Springer Books, in: J. Szenthe (ed.), New Developments in Differential Geometry, Budapest 1996, pages 307-316, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5276-1_22
    DOI: 10.1007/978-94-011-5276-1_22
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