Conformal Geometry and Global Solutions to the Yamabe Equations on Classical Pseudo-Riemannian Manifolds,
Special Year Program on Representation Theory of Lie Groups (organized by Eng-Chye Tan and Chen-Bo Zhu), Institute for Mathematical Sciences (IMS), Singapore, 24 September 2002.

The Yamabe operator on a pseudo-Riemannian manifold is a ''modified'' Laplace-Beltrami operator with scalar curvature involved. The conformal group stabilizes the space of global solutions to the Yamabe equation. Applying this to the flat pseudo-Riemannian manifold Rp,q, I shall discuss analytic aspects of minimal representations of indefinite orthogonal groups. This is a joint work with B. Orsted.

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