"Reconstruction of Riemannian Manifold from Boundary and Interior Data"
In this talk we focus on two Geometric inverse problems, which are both related to seismic imaging using the Earthquakes. We model the Earth as a smooth and compact Riemannian manifold with or without boundary. Earthquakes are considered to be the solutions of Riemannian wave equation with interior point sources and zero initial values. We assume that there is a large amount of Earthquakes. We study two different kinds of data related to Earthquakes. We show that both of these data determine the underlying Riemannian manifold up to isometry.