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math.DG2025
Time Separation and Scattering Rigidity for Analytic Lorentzian Manifolds
Yuchao Yi, Yang Zhang
In this work, we prove the following three rigidity results: (i) in a real-analytic globally hyperbolic spacetime without boundary, the time separation function restricted…
math.AP2025
The Dirichlet-to-Neumann map for Lorentzian Calderón problems with data on disjoint sets
Yuchao Yi, Yang Zhang
We consider the restricted Dirichlet-to-Neumann map for the wave equation with magnetic potential and scalar potential , on an admissible Lorentzian manifo…
math.AP2025
Riemannian and Lorentzian Calderón problem under Magnetic Perturbation
Yuchao Yi
We study both the Riemannian and Lorentzian Calderón problem when a family of Dirichlet-to-Neumann maps are given for an open set of magnetic/electromagnetic potentials. For the Ri…