none

In this report, we want to study how the Dirichlet-Neumann map can determine a Riemannian metric. To demonstrate the effectiveness of this detection, we shall quote results from papers by
Lassas-Taylor-Uhlmann and Lee-Uhlmann, respectively. It is interesting to note that, in Lassas-Taylor-Uhlmann's paper, the Green's function is used to provide an essential embedding of the manifold into a Sobolev space which is used to construct the needed isometry, while, in Lee-Uhlmann's paper, a pseudo-differential operator is analyzed to construct the isometry.

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