Add to ORKGAbstract. We show that the knowledge of the Dirichlet-to-Neumann opera-tor of the Laplacian on an open subset of the boundary of a compact Einstein manifold with boundary determines the manifold up to isometries. Similarly, for conformally compact Einstein manifolds, we prove that the knowledge of either the scattering operator at energy n, or the Dirichlet-to-Neumann map for the conformal compactification, on an open subset of the boundary of the manifold, determines the manifold up to isometries. 1
summary:We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl ...
It is of fundamental interest to study the geometric and analytic properties of compact Einstein man...
For a class of Riemannian manifolds with boundary that includes all negatively curved manifolds with...
Abstract. We show that the Dirichlet-to-Neumann operator of the Laplacian on an open subset of the b...
We present two kinds of results, namely three inverse theorems and a spectral result. The first inve...
AbstractWe study an inverse problem for a non-compact Riemannian manifold whose ends have the follow...
Given a smooth non-trapping compact manifold with strictly convex boundary, we consider an inverse p...
Abstract. We study an inverse problem for a non-compact Riemannian man-ifold whose ends have the fol...
Abstract: We consider inverse problems for the coupled Einstein equations and the matter field equat...
We give a general survey of the solution of the Einstein constraints by the conformal method on n di...
AbstractFor a compact n-dimensional Riemannian manifold (M,g) with boundary i:∂M⊂M, the Dirichlet-to...
This paper deals with a reconstruction problem for the conformal structure of a 2-dimensional manifo...
Abstract. We consider the inverse problem to determine a smooth compact Riemannian manifold with bou...
Let $(\Omega^3,g)$ be a compact smooth Riemannian manifold with smooth boundary and suppose that $U$...
We consider a geometric inverse problems associated with interior measurements: Assume that on a clo...
summary:We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl ...
It is of fundamental interest to study the geometric and analytic properties of compact Einstein man...
For a class of Riemannian manifolds with boundary that includes all negatively curved manifolds with...
Abstract. We show that the Dirichlet-to-Neumann operator of the Laplacian on an open subset of the b...
We present two kinds of results, namely three inverse theorems and a spectral result. The first inve...
AbstractWe study an inverse problem for a non-compact Riemannian manifold whose ends have the follow...
Given a smooth non-trapping compact manifold with strictly convex boundary, we consider an inverse p...
Abstract. We study an inverse problem for a non-compact Riemannian man-ifold whose ends have the fol...
Abstract: We consider inverse problems for the coupled Einstein equations and the matter field equat...
We give a general survey of the solution of the Einstein constraints by the conformal method on n di...
AbstractFor a compact n-dimensional Riemannian manifold (M,g) with boundary i:∂M⊂M, the Dirichlet-to...
This paper deals with a reconstruction problem for the conformal structure of a 2-dimensional manifo...
Abstract. We consider the inverse problem to determine a smooth compact Riemannian manifold with bou...
Let $(\Omega^3,g)$ be a compact smooth Riemannian manifold with smooth boundary and suppose that $U$...
We consider a geometric inverse problems associated with interior measurements: Assume that on a clo...
summary:We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl ...
It is of fundamental interest to study the geometric and analytic properties of compact Einstein man...
For a class of Riemannian manifolds with boundary that includes all negatively curved manifolds with...