Displaying similar documents to “On the hyperbolic Dirichlet to Neumann functional.”

Anisotropic inverse problems and Carleman estimates

David Dos Santos Ferreira (2007-2008)

Séminaire Équations aux dérivées partielles

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This note reports on recent results on the anisotropic Calderón problem obtained in a joint work with Carlos E. Kenig, Mikko Salo and Gunther Uhlmann []. The approach is based on the construction of complex geometrical optics solutions to the Schrödinger equation involving phases introduced in the work [] of Kenig, Sjöstrand and Uhlmann in the isotropic setting. We characterize those manifolds where the construction is possible, and give applications to uniqueness for the corresponding...

Infinitesimal conjugacies and Weil-Petersson metric

Albert Fathi, L. Flaminio (1993)

Annales de l'institut Fourier

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We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.