Skip to main content

Research Repository

Advanced Search

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

Egidi, Michela; Liu, Shiping; Muench, Florentin; Peyerimhoff, Norbert

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds Thumbnail


Authors

Michela Egidi

Shiping Liu

Florentin Muench



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
Public URL https://durham-repository.worktribe.com/output/1304686

Files

Accepted Journal Article (340 Kb)
PDF

Copyright Statement
Copyright © International Press. First published in Communication in analysis and geometry in 29, 5 (2021), published by International Press.





You might also like



Downloadable Citations