A conformally invariant differential operator on Weyl tensor densities

Details A conformally invariant differential operator on Weyl tensor densities A conformally invariant differential operator on Weyl tensor densities

2001-09-27

arxiv.org/abs/hep-th/0109210v1

J.Geom.Phys. 42 (2002) 283-295

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX

Scientific paper

10.1016/S0393-0440(01)00086-9

We derive a tensorial formula for a fourth-order conformally invariant differential operator on conformal 4-manifolds. This operator is applied to algebraic Weyl tensor densities of a certain conformal weight, and takes its values in algebraic Weyl tensor densities of another weight. For oriented manifolds, this operator reverses duality: For example in the Riemannian case, it takes self-dual to anti-self-dual tensors and vice versa. We also examine the place that this operator occupies in known results on the classification of conformally invariant operators, and we examine some related operators.

Affiliated with

Also associated with

No associations

Rating

A conformally invariant differential operator on Weyl tensor densities 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 A conformally invariant differential operator on Weyl tensor densities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A conformally invariant differential operator on Weyl tensor densities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514104