Foundations of a nonlinear distributional geometry

Simple item page
dc.creatorKunzinger, Michael
dc.creatorSteinbauer, Roland
dc.date2001-02-02
dc.date2001-09-21
dc.date.accessioned2026-07-07T04:39:57Z
dc.date.available2026-07-07T04:39:57Z
dc.descriptionCo lombeau's construction of generalized functions (in its special variant) is extended to a theory of generalized sections of vector bundles. As particular cases, generalized tensor analysis and exterior algebra are studied. A point value characterization for generalized functions on manifolds is derived, several algebraic characterizations of spaces of generalized sections are established and consistency properties with respect to linear distributional geometry are derived. An application to nonsmooth mechanics indicates the additional flexibility offered by this approach compared to the purely distributional picture.
dc.description29 pages, Latex, title changed, final version, to appear in Acta Appl. Math
dc.identifierhttps://arxiv.org/abs/math/0102019
dc.identifierhttp://arxiv.org/abs/math/0102019
dc.identifierActa Appl. Math. 71 (2002) 179-206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60880
dc.subjectFunctional Analysis
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject46F30; 46T30;46F10; 37J05
dc.titleFoundations of a nonlinear distributional geometry
dc.typetext

Files

Collections

arXiv