On Calderon's problem for the connection Laplacian

Published 26 Dec 2021 in math.DG and math.AP | (2112.13419v3)

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.

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