Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

DOI10.4310/CAG.2021.v29.n5.a4zbMath1491.53049arXiv1608.01955WikidataQ125825381 ScholiaQ125825381MaRDI QIDQ2063729

Florentin Münch, Norbert Peyerimhoff, Michela Egidi, Shiping Liu

Publication date: 3 January 2022

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01955

zbMATH Keywords

magnetic fieldRicci curvaturemagnetic potentialLichnerowicz-type estimateBuser-type estimateCheeger-type constants.

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Geometric bounds for the magnetic Neumann eigenvalues in the plane ⋮ Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms ⋮ Eigenvalue bounds of the Robin Laplacian with magnetic field

This page was built for publication: Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds