Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds

Details Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds

2009-11-27

arxiv.org/abs/0911.5265v2

Mathematics

Differential Geometry

33 pages, minor revisions. To appear in J. Math. Phys

Scientific paper

On locally conformally flat manifolds we describe a construction which maps generalised conformal Killing tensors to differential operators which may act on any conformally weighted tensor bundle; the operators in the range have the property that they are symmetries of any natural conformally invariant differential operator between such bundles. These are used to construct all symmetries of the conformally invariant powers of the Laplacian (often called the GJMS operators) on manifolds of dimension at least 3. In particular this yields all symmetries of the powers of the Laplacian $\Delta^k$, $k\in \mathbb{Z}>0$, on Euclidean space $\mathbb{E}^n$. The algebra formed by the symmetry operators is described explicitly.

Affiliated with

Also associated with

No associations

Rating

Higher symmetries of the conformal powers of the Laplacian on conformally flat 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 Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195723