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arXiv · 2112.13419

On Calderon's problem for the connection Laplacian

Ravil Gabdurakhmanov·Gerasim Kokarev
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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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Ravil Gabdurakhmanov, Gerasim Kokarev. 2021-12-26. On Calderon's problem for the connection Laplacian. https://arxiv.org/abs/2112.13419

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