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arXiv · 1608.01955

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

Michela Egidi·Shiping Liu·Florentin Münch·Norbert Peyerimhoff
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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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Michela Egidi, Shiping Liu, Florentin Münch, Norbert Peyerimhoff. 2016-08-05. Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds. https://arxiv.org/abs/1608.01955

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