Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

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

doi:10.4310/cag.2021.v29.n5.a4

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

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

Authors

Michela Egidi

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