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On Calderon's problem for the connection Laplacian
Part of
Ravil Gabdurakhmanov, Gerasim Kokarev
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View

Published online by Cambridge University Press:

05 January 2024, pp. 1-26
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We consider Calderón'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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On Calderon's problem for the connection Laplacian