Nonsmooth differential geometry and algebras of generalized functions
Copyright policy )Nonsmooth differential geometry and algebras of generalized functions
Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in non-smooth differential geometry. This article presents an introductory survey of recent developments in this field and highlights some applications in mathematical physics.
17 pages, typos corrected
- University of Vienna Austria
Mathematics - Differential Geometry, 1010 Mathematics, 1010 Mathematik, 53B20, generalized pseudo-Riemannian geometry, Generalized pseudo-Riemannian geometry, FOS: Mathematics, 46F30;46T30;53B20, Algebras of generalized functions, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, 46F30, 46T30, Nonsmooth differential geometry, Applied Mathematics, Distributions and generalized functions on nonlinear spaces, nonsmooth differential geometry, Functional Analysis (math.FA), algebras of generalized functions, Mathematics - Functional Analysis, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Differential Geometry (math.DG), Colombeau algebras, Space-time singularities, cosmic censorship, etc., Analysis
Mathematics - Differential Geometry, 1010 Mathematics, 1010 Mathematik, 53B20, generalized pseudo-Riemannian geometry, Generalized pseudo-Riemannian geometry, FOS: Mathematics, 46F30;46T30;53B20, Algebras of generalized functions, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, 46F30, 46T30, Nonsmooth differential geometry, Applied Mathematics, Distributions and generalized functions on nonlinear spaces, nonsmooth differential geometry, Functional Analysis (math.FA), algebras of generalized functions, Mathematics - Functional Analysis, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Differential Geometry (math.DG), Colombeau algebras, Space-time singularities, cosmic censorship, etc., Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!