A note on the conformal quasi-invariance of the Laplacian on a pseudo-Riemannian manifold |
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Authors: | Bent Ørsted |
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Institution: | (1) Department of Mathematics, Massachusetts Institute of Technology, 02139 Cambridge, Mass., USA |
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Abstract: | We consider the Laplacian on a pseudo-Riemannian manifold with constant scalar curvature (e.g. Euclidian space with an arbitrary signed inner product or its conformal compactification and coverings of this) and show that for this minus a constant we have quasi-invariance with respect to an action of the conformal group on functions. |
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