Nonlinear scattering functionals on Lorentzian manifolds with an asymptotically Minkowskian infinity determine the manifold's topology, differentiable structure, conformal type, and the nonlinear coefficient up to a conformal transformation.
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Inverse scattering problems for non-linear wave equations on Lorentzian manifolds
Nonlinear scattering functionals on Lorentzian manifolds with an asymptotically Minkowskian infinity determine the manifold's topology, differentiable structure, conformal type, and the nonlinear coefficient up to a conformal transformation.