Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 102, 14 pages      math.DG/0606552
Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson

Translation to Bundle Operators

Thomas P. Branson a and Doojin Hong b
a) Deceased
b) Department of Mathematics, University of North Dakota, Grand Forks ND 58202, USA

Received August 31, 2007, in final form October 24, 2007; Published online October 31, 2007

We give explicit formulas for conformally invariant operators with leading term an m-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all m.

Key words: conformally invariant operators; pseudo-Riemannian product of shperes; Fefferman-Graham ambient space; intertwining operator of the conformal group O(p+1,q+1).

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