D.Canarutto:
Bundle splittings, connections and locally principal fibred manifolds.
Bollettino dell'Unione Matematica Italiana, VI, V-D (1986),
pp. 17-30.
Abstract
It is shown that most of the usual topics concerning Lie groups, Lie
algebras and principal bundles can be developed in a more general context
in which the role of groups is inessential, though the traditional approach
can be recovered locally. Given a fibred manifold, this scheme is connected
with the existence on it of a curvature-free connection.
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