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Scattering Matrix in Conformal Geometry by Jose Ramirez is a document available to read on EtoBox.

This document summarizes two theorems relating scattering matrices on conformally compact manifolds to conformally invariant objects on the boundary. Theorem 1 states that the scattering matrix of a Poincare metric has simple poles corresponding to the conformally invariant powers of the Laplacian operators. Theorem 2 states that for even dimensions, the Q-curvature, a conformally invariant scalar function, is equal to the value of the scattering matrix at a particular point. Theorem 3 identifies the

Author
Jose Ramirez
Language
EN