D.Canarutto:
Smooth bundles of generalized half-densities.
Archivum Mathematicum, Brno, 36 (2000), 111-124.
Abstract
Smooth bundles, whose fibres are distribution spaces, are introduced
according to the notion of smoothness due to Frölicher. Some fundamental
notions of differential geometry, such as tangent and jet spaces, Frölicher-Nijenhuis
bracket, connections and curvature, are suitably generalized. It is also
shown that a classical connection on a finite-dimensional bundle naturally
determines a connection on an associated distributional bundle.
1991 MSC: 46F99, 53C05, 58B10, 58C99.
Keywords: generalized sections, Frölicher smoothness, connections.
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