Contents

1 Introduction

2 A new gauge invariance for the Calderón problem with disjoint data

3 Counterexamples to uniqueness for the anisotropic Calderón problem with disjoint data modulo the gauge invariance

3.1 Counterexamples in the conformal class of a cylindrical warped product in dimension n≥3

3.2 Remarks on the case of manifolds with corners