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What is Scattering Matrix in Conformal Geometry about?

This paper examines the connection between scattering matrices on asymptotically Einstein manifolds and conformally invariant objects on their boundaries. It presents three main results: 1. The scattering matrix of an asymptotically Einstein manifold has poles corresponding to conformally invariant powers of the Laplacian on the boundary. 2. For even dimensional manifolds, the scattering matrix is related to the Q-curvature on the boundary. 3. For even dimensions, the renormalized volume of the manifol

Author

bilingsley

Language

EN