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The boundary value problem for Laplacian on differential forms and conformally Einstein infinity (1508.01511v2)
Published 6 Aug 2015 in math.DG, math-ph, math.AP, math.CO, and math.MP
Abstract: We completely resolve the boundary value problem for differential forms and conformally Einstein infinity in terms of the dual Hahn polynomials. Consequently, we produce 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.