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Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

  • Egidi, Michela
  • Liu, Shiping
  • Muench, Florentin
  • Peyerimhoff, Norbert
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Publication date
January 2021
Icon DOI
10.4310/CAG.2021.v29.n5.a4
Publisher
International Press of Boston
Journal
Communications in Analysis and Geometry

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

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