Michela Egidi
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Egidi, Michela; Liu, Shiping; Muench, Florentin; Peyerimhoff, Norbert
Authors
Shiping Liu
Florentin Muench
Professor Norbert Peyerimhoff norbert.peyerimhoff@durham.ac.uk
Professor
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.
Citation
Egidi, M., Liu, S., Muench, F., & Peyerimhoff, N. (2021). Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds. Communications in Analysis and Geometry, 29(5), 1127-1156. https://doi.org/10.4310/cag.2021.v29.n5.a4
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 30, 2018 |
Online Publication Date | Dec 1, 2021 |
Publication Date | Jan 1, 2021 |
Deposit Date | Jan 22, 2019 |
Publicly Available Date | Jan 23, 2019 |
Journal | Communications in Analysis and Geometry |
Print ISSN | 1019-8385 |
Electronic ISSN | 1944-9992 |
Publisher | International Press |
Peer Reviewed | Peer Reviewed |
Volume | 29 |
Issue | 5 |
Pages | 1127-1156 |
DOI | https://doi.org/10.4310/cag.2021.v29.n5.a4 |
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Accepted Journal Article
(340 Kb)
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Copyright Statement
Copyright © International Press. First published in Communication in analysis and geometry in 29, 5 (2021), published by International Press.
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