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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…
math.DG2024
Inverse Spectral Problems for Collapsing Manifolds I: Uniqueness and Stability
Yaroslav Kurylev, Matti Lassas, Jinpeng Lu +1
We consider the geometric inverse problem of determining a closed Riemannian manifold from measurements of the heat kernel in an open subset of the manifold. In this paper we analy…