This up-to-date treatment of recent developments in geometric inverse problems introduces
graduate students and researchers to an exciting area of research. With an emphasis on the …

We consider the emergence from quantum entanglement of spacetime geometry in a bulk
region. For certain classes of quantum states in an appropriately factorized Hilbert space, a …

We study the boundary rigidity problem with partial data consisting of determining locally the
Riemannian metric of a Riemannian manifold with boundary from the distance function …

We introduce an appropriate formalism in order to study conformal Killing (symmetric)
tensors on Riemannian manifolds. We reprove in a simple way some known results in the …

4 Integral geometry on manifolds with boundary and applications Page 1 Joonas Ilmavirta
and François Monard 4 Integral geometry on manifolds with boundary and applications …

Consider a compact Riemannian manifold of dimension $\geq 3$ with strictly convex
boundary, such that the manifold admits a strictly convex function. We show that the …

In the recent articles Paternain et al.(J. Differ Geom, 98: 147–181, 2014, Invent Math 193:
229–247, 2013), a number of tensor tomography results were proved on two-dimensional …

We survey some results on travel time tomography. The question is whether we can
determine the anisotropic index of refraction of a medium by measuring the travel times of …

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This article considers inverse problems on closed Riemannian surfaces whose geodesic
flow is Anosov. We prove spectral rigidity for any Anosov surface and injectivity of the …