SIGMA 3 (2007), 121, 4 pages arXiv:0711.4798
Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson
Conformal Powers of the Laplacian via Stereographic Projection
C. Robin Graham
Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195-4350, USA
Received November 17, 2007; Published online December 15, 2007
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.
conformal Laplacian; stereographic projection.
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