Title: Reconstruction of a compact Riemannian manifold from the scattering data of internal sources,
Abstract: Given a smooth non-trapping compact manifold with strictly con- vex boundary,
we consider an inverse problem of reconstructing the manifold from the
scattering data initiated from internal sources. This data consist of the exit
directions of geodesics that are emaneted from interior points of the manifold.
We show that under certain generic assumption of the metric, one can
reconstruct an isometric copy of the manifold from such scattering data
measured on the boundary.