Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

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.

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Veröffentlicht in:Communications in analysis and geometry 2021-01, Vol.29 (5), p.1127-1156
Hauptverfasser: Egidi, Michela, Liu, Shiping, Muench, Florentin, Peyerimhoff, Norbert
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Physical Sciences
Science & Technology
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Zusammenfassung: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.
ISSN:1019-8385
1944-9992
DOI:10.4310/CAG.2021.V29.N5.A4