Matthias Fischmann,
and Christian Krattenthaler and
Petr Somberg
On conformal powers of the Dirac operator on Einstein manifolds
(16 pages)
Abstract.
We determine the structure of conformal powers of the Dirac operator on Einstein
Spin-manifolds
in terms of the product formula for shifted Dirac operators. The result is based on the techniques
of higher variations for the Dirac operator on Einstein manifolds and spectral analysis of the
Dirac operator on
the associated Poincaré-Einstein metric, and relies on
combinatorial recurrence identities related to the dual Hahn polynomials.
The following versions are available:
Back to Christian Krattenthaler's
home page.