Conformal Powers of the Laplacian via Stereographic Projection

Details Conformal Powers of the Laplacian via Stereographic Projection Conformal Powers of the Laplacian via Stereographic Projection

2007-11-29

arxiv.org/abs/0711.4798v2

SIGMA 3 (2007), 121, 4 pages

Mathematics

Differential Geometry

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in

Scientific paper

10.3842/SIGMA.2007.121

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.

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