The boundary value problem for Laplacian on differential forms and conformally Einstein infinity
Differential Geometry
2019-05-03 v2 Mathematical Physics
Analysis of PDEs
Combinatorics
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 -curvature and gauge companion operators on differential forms.
Cite
@article{arxiv.1508.01511,
title = {The boundary value problem for Laplacian on differential forms and conformally Einstein infinity},
author = {Matthias Fischmann and Petr Somberg},
journal= {arXiv preprint arXiv:1508.01511},
year = {2019}
}