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arXiv · 1508.01511

The boundary value problem for Laplacian on differential forms and conformally Einstein infinity

Matthias Fischmann·Petr Somberg
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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.

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Matthias Fischmann, Petr Somberg. 2015-08-06. The boundary value problem for Laplacian on differential forms and conformally Einstein infinity. https://arxiv.org/abs/1508.01511

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