Conformal Powers of the Laplacian via Stereographic Projection
Differential Geometry
2008-04-25 v2
Abstract
A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula from knowledge of the corresponding conformally invariant operator on Euclidean space (the k-th power of the Euclidean Laplacian) via conjugation by the stereographic projection mapping.
Keywords
Cite
@article{arxiv.0711.4798,
title = {Conformal Powers of the Laplacian via Stereographic Projection},
author = {C. Robin Graham},
journal= {arXiv preprint arXiv:0711.4798},
year = {2008}
}
Comments
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/