Kurylev, Y;
Oksanen, L;
Paternain, GP;
(2018)
Inverse problems for the connection Laplacian.
Journal of Differential Geometry
, 110
(3)
pp. 457-494.
10.4310/jdg/1542423627.
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Abstract
We reconstruct a Riemannian manifold and a Hermitian vector bundle with compatible connection from the hyperbolic Dirichlet-to-Neumann operator associated with the wave equation of the connection Laplacian. The boundary data is local and the reconstruction is up to the natural gauge transformations of the problem. As a corollary we derive an elliptic analogue of the main result which solves a Calderón problem for connections on a cylinder.
| Type: | Article |
|---|---|
| Title: | Inverse problems for the connection Laplacian |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4310/jdg/1542423627 |
| Publisher version: | https://doi.org/10.4310/jdg/1542423627 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1522474 |
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