Michael Pevzner

Conformal symmetry breaking operators on AdS spaces.

Let $X$ be a pseudo-Riemannian manifold and $Y$ a totally geodesic hypersurface $Y\subset X$.

We describe all linear differential operators $\mathcal{E}^i(X) \to \mathcal{E}^j(Y)$ between the spaces of differential forms
that intertwine multiplier representations of the Lie algebra of
conformal vector fields in the setting where both $X$ and $Y$ are of constant sectional curvature, illustrated by the examples of anti-de Sitter spaces and
hyperbolic spaces.

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