11 citations · 17 across the 3 of their papers we have counts for
3 papers
math.DG2017★ 11 cited
Tensor tomography on Cartan-Hadamard manifolds
Jere Lehtonen, Jesse Railo, Mikko Salo
We study the geodesic X-ray transform on Cartan-Hadamard manifolds, and prove solenoidal injectivity of this transform acting on functions and tensor fields of any order. The funct…
math.DG2017★ 1 cited
Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds
Joonas Ilmavirta, Jere Lehtonen, Mikko Salo
We show that on a two-dimensional compact nontrapping manifold with strictly convex boundary, a piecewise constant function is determined by its integrals over geodesics. In higher…
math.DG2016★ 5 cited
The geodesic ray transform on two-dimensional Cartan-Hadamard manifolds
Jere Lehtonen
We prove two injectivity theorems for the geodesic ray transform on two-dimensional, complete, simply connected Riemannian manifolds with non-positive Gaussian curvature, also know…