Two dimensional compact simple Riemannian manifolds are boundary distance rigid

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67513We prove that knowing the length of geodesics joining points on the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the Riemannian metric up to the natural obstruction.Analysis of PDEsDifferential Geometry35R30; 53C60Two dimensional compact simple Riemannian manifolds are boundary distance rigidtext