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Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Communications in Analysis and Geometry  (IF0.736),  Pub Date : 2021-12-01, DOI: 10.4310/cag.2021.v29.n5.a4
Michela Egidi, Shiping Liu, Florentin Münch, Norbert Peyerimhoff

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.