4 papers
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…
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…
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…
Wulff inequality for minimal submanifolds in Euclidean space
Wenkui Du, Yuchao Yi, Ziyi Zhao
In this paper, we prove a Wulff inequality for -dimensional minimal submanifolds with boundary in , where we associate a nonnegative anisotropic weight $Φ: S^{…