A convenient setting for differential geometry and global analysis II
Peter Michor (1984)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “A convenient setting for differential geometry and global analysis”
A convenient setting for differential geometry and global analysis II
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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Product preserving functors of infinite-dimensional manifolds
Andreas Kriegl, Peter W. Michor (1996)
Archivum Mathematicum
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The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of -algebras.
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.