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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Salvai, M. (2002)
Rendiconti del Seminario Matematico
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Manoharan, P. (2002)
International Journal of Mathematics and Mathematical Sciences
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Indranil Biswas, Andrei Teleman (2014)
Open Mathematics
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Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction...
Felice Ronga (1984)
Compositio Mathematica
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K. Guruprasad, Shrawan Kumar (1990)
Compositio Mathematica
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Michael Kunzinger, Eduard Nigsch (2011)
Commentationes Mathematicae Universitatis Carolinae
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We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.