Egidi, Michela and Liu, Shiping and Muench, Florentin and Peyerimhoff, Norbert (2021) 'Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds.', Communication in analysis and geometry., 29 (5). pp. 1127-1156.
Abstract
In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential. These results relate eigenvalues, magnetic fields, Ricci curvature, and Cheeger type constants.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (332Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.4310/CAG.2021.v29.n5.a4 |
| Publisher statement: | Copyright © International Press. First published in Communication in analysis and geometry in 29, 5 (2021), published by International Press. |
| Date accepted: | 30 December 2018 |
| Date deposited: | 23 January 2019 |
| Date of first online publication: | 01 December 2021 |
| Date first made open access: | 26 July 2022 |
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