T. Kobayashi, T. Kubo, and M. Pevzner. Conformal symmetry breaking operators for anti-de Sitter spaces, Geometric Methods in Physics XXXV (P. Kielanowski, A. Odzijewicz, and E. Previato, eds.), Trends in Mathematics, Birkhäuser, Springer, 2018, pp. 75-91, DOI: 10.1007/978-3-319-63594-1_9. arXiv: 1610.09475..

For a pseudo-Riemannian manifold X and a totally geodesic hypersurface Y, we consider the problem of constructing and classifying all linear differential operators Ei(X) ->Ej(Y) between the spaces of differential forms that intertwine multiplier representations of the Lie algebra of conformal vector fields. Extending the recent results in the Riemannian setting by Kobayashi-Kubo-Pevzner [Lecture Notes in Math. 2170, (2016)], we construct such differential operators and give a classification of them in the pseudo-Riemannian 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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