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Boundary Rigidity in a fixed conformal class for Asymptotically Hyperbolic Manifolds
Tristan Humbert, Sebastián Muñoz-Thon
Given two conformal asymptotically hyperbolic metrics which are either both simple or both negatively curved, we show that if their (marked) renormalized boundary distances coincid…
Scattering rigidity for standard stationary manifolds via timelike geodesics
Sebastián Muñoz-Thon
We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we us…
The linearization of the boundary rigidity problem for MP-systems and generic local boundary rigidity
Sebastián Muñoz-Thon
We consider an -system, that is, a compact Riemannian manifold with boundary, endowed with a magnetic field and a potential. On simple -systems, we stud…
The boundary and scattering rigidity problems for simple MP-systems
Sebastián Muñoz-Thon
We consider a compact Riemannian manifold with boundary, endowed with a magnetic field and a potential. This is called an -system. On simple -systems, w…