84 citations · 605 across the 68 of their papers we have counts for
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math.DG2019★ 7 cited
X-Ray Transform in Asymptotically Conic Spaces
Colin Guillarmou, Matti Lassas, Leo Tzou
In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidean or conic Riemannian metrics and show injectivity under non-trapping and no con…
math.DG2019
Asymptotically Euclidean metrics without conjugate points are flat
Colin Guillarmou, Marco Mazzucchelli, Leo Tzou
We prove that any asymptotically Euclidean metric on with no conjugate points must be isometric to the Euclidean metric.
math.DG2019★ 15 cited
Geodesic stretch, pressure metric and marked length spectrum rigidity
Colin Guillarmou, Gerhard Knieper, Thibault Lefeuvre
We refine the recent local rigidity result for the marked length spectrum obtained by the first and third author in \cite{Guillarmou-Lefeuvre-18} and give an alternative proof usin…