Displaying similar documents to “Extension of cross-sections and a generalized de Rham theorem.”

Smooth bundles of generalized half-densities

Daniel Canarutto (2000)

Archivum Mathematicum

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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.