5 papers
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…
Bulk metric reconstruction from entanglement data via minimal surface area variations
Niko Jokela, Tony Liimatainen, Miika Sarkkinen +1
We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions. By deriving an…
The Calderón problem on Riemannian surfaces and of minimal surfaces
Cătălin 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…
An Inverse Problem with Partial Neumann Data and Potentials
Leonard Busch, Leo Tzou
We consider a partial data inverse problem with unbounded potentials. Rather than rely on functional analytic arguments or Carleman estimates, we construct an explicit Green's func…
An inverse problem for general minimal surfaces
Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen +1
In this paper we consider an inverse problem of determining a minimal surface embedded in a Riemannian manifold. We show under a topological condition that if is a -dimensio…