Nonlinear generalized sections of vector bundles

DOI10.1016/j.jmaa.2016.03.022zbMath1380.46059arXiv1409.2962OpenAlexW2963922964MaRDI QIDQ269429

Eduard Albert Nigsch

Publication date: 18 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2962

zbMATH Keywords

Colombeau algebracovariant derivativediffeomorphism invariancenonlinear generalized functionssingular pseudo-Riemannian geometry

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (6)

Colombeau algebras without asymptotics ⋮ Nonlinear generalized functions on manifolds ⋮ A nonlinear theory of distributional geometry ⋮ Spacetimes with distributional semi-Riemannian metrics and their curvature ⋮ Full and Special Colombeau Algebras ⋮ On a nonlinear Peetre's theorem in full Colombeau algebras

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