4.5 Article

Nonsmooth differential geometry and algebras of generalized functions

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 297, Issue 2, Pages 456-471

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2004.02.016

Keywords

algebras of generalized functions; Colombeau algebras; nonsmooth differential geometry; generalized pseudo-Riemannian geometry

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Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in nonsmooth differential geometry. This article presents an introductory survey of recent developments in this field and highlights some applications in mathematical physics. (C) 2004 Elsevier Inc. All rights reserved.

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