CR Invariant powers of the sub-Laplacian

Details CR Invariant powers of the sub-Laplacian CR Invariant powers of the sub-Laplacian

2003-01-09

arxiv.org/abs/math/0301092v1

Mathematics

Differential Geometry

31 pages

Scientific paper

CR invariant differential operators on densities with leading part a power of the sub-Laplacian are derived. One family of such operators is constructed from the ``conformally invariant powers of the Laplacian'' via the Fefferman metric; the powers which arise for these operators are bounded in terms of the dimension. A second family is derived from a CR tractor calculus which is developed here; this family includes operators for every positive power of the sub-Laplacian. This result together with work of Cap, Slovak and Soucek imply in three dimensions the existence of a curved analogue of each such operator in flat space.

Affiliated with

Also associated with

No associations

Rating

CR Invariant powers of the sub-Laplacian 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 CR Invariant powers of the sub-Laplacian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CR Invariant powers of the sub-Laplacian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231488