Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator

Abstract

This paper investigates the anisotropic Calderón problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set, we can recover the geometry of a closed Riemannian manifold up to standard gauge.

18 pages