## 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 *E*^{i}(*X*) ->*E*^{j}(*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.

[ DOI |
arXiv |
preprint version(pdf) |
SpringerLink ]

© Toshiyuki Kobayashi