Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity

Erwann Aubry, Colin Guillarmou

For odd dimensional Poincaré-Einstein manifolds $(X^{n+1},g)$, we study the set of harmonic $k$-forms (for $k<\ndemi$) which are $C^m$ (with $m\in\nn$) on the conformal compactific…