Geodesic
Smooth bundles of generalized half-densities
Archivum mathematicum, Tome 36 (2000) no. 2, pp. 111-124.

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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.
Classification : 46F99, 46T30, 53C05, 58B10, 58C99
Keywords: generalized sections; Frölicher smoothness; connections 
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     author = {Canarutto, Daniel},
     title = {Smooth bundles of generalized half-densities},
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     url = {http://geodesic.mathdoc.fr/item/ARM_2000__36_2_a3/}
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Canarutto, Daniel. Smooth bundles of generalized half-densities. Archivum mathematicum, Tome 36 (2000) no. 2, pp. 111-124. http://geodesic.mathdoc.fr/item/ARM_2000__36_2_a3/