Gabdurakhmanov, R. and Kokarev, G. (2024) On Calderon's problem for the connection Laplacian. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. ISSN 0308-2105
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s), 2024. This article has been published in a revised form in https://doi.org/10.1017/prm.2023.127. This version is free to view and download for private research and study only. Not for re-distribution or re-use. |
Keywords: | Calderón problem, Dirichlet-to-Neumann map, connection Laplacian |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 Dec 2023 12:43 |
Last Modified: | 05 Jul 2024 00:13 |
Status: | Published online |
Publisher: | Cambridge University Press |
Identification Number: | 10.1017/prm.2023.127 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:206419 |