The Geodesic Ray Transform on Riemannian Surfaces with Conjugate Points

The spectrum of positive elliptic operators and periodic bicharacteristics

J. J. Duistermaat, Victor Guillemin · Inventiones mathematicae · 1975 · 616 citations

Natural Sciences, Mathematics, Physics +12

To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)

Yarosiav V. Kuryiev · Communications in Partial Differential Equations · 1992 · 222 citations

Natural Sciences, Physics, Computational Geometry +9

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Leonid Pestov, Günther Uhlmann · Annals of Mathematics · 2005 · 222 citations · Full text

Natural Sciences, Mathematics, Geometry +10

Boundary rigidity and stability for generic simple metrics

Plamen Stefanov, Günther Uhlmann · Journal of the American Mathematical Society · 2005 · 178 citations · Full text

Natural Sciences, Mathematics, Physics +13

The inverse problem for the local geodesic ray transform

Günther Uhlmann, András Vasy · Inventiones mathematicae · 2015 · 156 citations

Natural Sciences, Radiology, Computational Geometry +12