Generalized functions valued in a smooth manifold

Details Generalized functions valued in a smooth manifold Generalized functions valued in a smooth manifold

2001-07-06

arxiv.org/abs/math/0107051v1

Monatsh. Math., 137, 31-49, 2002.

Mathematics

Functional Analysis

21 pages, LaTeX

Scientific paper

Based on Colombeau's theory of algebras of generalized functions we introduce the concepts of generalized functions taking values in differentiable manifolds as well as of generalized vector bundle homomorphisms. We study their basic properties, in particular with respect to some new point value concepts for generalized functions and indicate applications of the resulting theory in general relativity.

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