Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
P. Michor (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold”
Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
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.
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M. Doupovec, I. Kolár (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A convenient setting for differential geometry and global analysis II
Peter Michor (1984)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Manifolds of smooth maps
P. Michor (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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