On Calderon's problem for the connection Laplacian
Differential Geometry
2023-12-15 v3 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2112.13419,
title = {On Calderon's problem for the connection Laplacian},
author = {Ravil Gabdurakhmanov and Gerasim Kokarev},
journal= {arXiv preprint arXiv:2112.13419},
year = {2023}
}
Comments
21 pages, final version; inaccuracies corrected, stylistic changes made, new references added