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math.DG2026
Lens rigidity in 2D: The reconstruction of a Riemann surface from its geodesic lengths
Spyros Alexakis, Matti Lassas
We address the question of whether a Riemannian manifold-with-boundary (M,g) in dimension two is uniquely determined from knowledge of the distances between points on its boundary.…
math.DG2025
Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel
Charles Fefferman, Sergei Ivanov, Matti Lassas +2
We consider how a closed Riemannian manifold and its metric tensor can be approximately reconstructed from local distance measurements. Moreover, we consider an inverse pro…