Antonio Sa Barreto
Purdue University
Date: January 26, 2005
We will discuss the radiation fields, and how they effectively substitute the Dirichlet to Neumann map in this setting. We will then show how the boundary control method can be adapted to show that the scattering matrix at all energies determines the manifold and the metric, modulo certain invariants.
If time permits, we will discuss the difference between this and (the more difficult) asymptotically Euclidean case.