Displaying similar documents to “Manifold-valued generalized functions in full Colombeau spaces”

Natural operators lifting functions to bundle functors on fibered manifolds

Włodzimierz M. Mikulski (1998)

Archivum Mathematicum

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The complete description of all natural operators lifting real valued functions to bundle functors on fibered manifolds is given. The full collection of all natural operators lifting projectable real valued functions to bundle functors on fibered manifolds is presented.

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.