Tensor Valued Colombeau Functions on Manifolds

Details Tensor Valued Colombeau Functions on Manifolds Tensor Valued Colombeau Functions on Manifolds

2008-12-17

arxiv.org/abs/0812.3275v1

Mathematics

Functional Analysis

LaTeX, 10 pages, Contribution presented at the International Conference on Generalized Functions, GF07, September 2007, Bedlew

Scientific paper

Extending the construction of the (intrinsically defined) full algebra of scalar valued Colombeau functions on a smooth manifold M (Grosser et al., Adv. Math. 166 (2002), 179-206) we present a suitable basic space for eventually obtaining tensor valued generalized functions on M, via the usual quotient construction. This basic space canonically contains the tensor valued distributions and permits a natural extension of the classical Lie derivative. Its members are smooth functions depending - via a third slot - on so-called transport operators, in addition to slots one (smooth n-forms on M) and two (points of M) from the scalar case.

Affiliated with

Also associated with

No associations

Rating

Tensor Valued Colombeau Functions on Manifolds 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 Tensor Valued Colombeau Functions on Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tensor Valued Colombeau Functions on Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94941