The Boundary Value Problem for Laplacian on Differential Forms and Conformal Einstein Infinity

Fischmann M and Somberg P

Abstract

We completely resolve the boundary value problem for differential forms for conformal Einstein infinity in terms of the dual Hahn polynomials. Consequently, we present explicit formulas for the Branson-Gover operators on Einstein manifolds and prove their representation as a product of second order operators. This leads to an explicit description of Q-curvature and gauge companion operators on differential forms.