Foundations of a nonlinear distributional geometry

Details Foundations of a nonlinear distributional geometry Foundations of a nonlinear distributional geometry

2001-02-02

arxiv.org/abs/math/0102019v4

Acta Appl. Math. 71 (2002) 179-206

Mathematics

Functional Analysis

29 pages, Latex, title changed, final version, to appear in Acta Appl. Math

Scientific paper

Co 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.

Affiliated with

Also associated with

No associations

Rating

Foundations of a nonlinear distributional geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Foundations of a nonlinear distributional geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Foundations of a nonlinear distributional geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203310