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.
© Toshiyuki Kobayashi