On Calderon's problem for the connection Laplacian

2021/12/26 by Gabdurakhmanov, Ravil, Kokarev, Gerasim · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.13419

Abstract

We consider Calderon's problem for the connection Laplacian on a real-analytic vector bundle over a manifold with boundary. We prove a uniqueness result for this problem when all geometric data are real-analytic, recovering the topology and geometry of a vector bundle up to a gauge transformation and an isometry of the base manifold.

Cited by

• The Lorentzian Calderón problem on vector bundles

Related

• On Calderon's problem for the connection Laplacian
• The Calderón problem for connections
• Calder'on problem for Yang-Mills connections
• Inverse problems for the connection Laplacian
• A Uniqueness Result for the Calderon Problem for U(N)-connections coupled to spinors