Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold
P. Michor (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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P. Michor (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Manoharan, P. (2002)
International Journal of Mathematics and Mathematical Sciences
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M. Doupovec, I. Kolár (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Vladimír Lešovský (1982)
Archivum Mathematicum
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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.
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.