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math.AP2025
Generalized boundary rigidity and minimal surface transform
Leonard Busch, Tony Liimatainen, Mikko Salo +1
We study a generalized boundary rigidity problem, which investigates whether the areas of embedded minimal surfaces can uniquely determine a Riemannian manifold with boundary. We p…
math.AP2024
The Calderón problem on Riemannian surfaces and of minimal surfaces
CÄtÄlin I. Cârstea, Tony Liimatainen, Leo Tzou
In this paper we prove two results. The first shows that the Dirichlet-Neumann map of the operator on a Riemannian surface can determine its topological, differential, and…