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math.DG2016★ 1 cited
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Michela Egidi, Shiping Liu, Florentin Münch +1
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.…
math.DG2014★ 14 cited
An optimal dimension-free upper bound for eigenvalue ratios
Shiping Liu
On a closed weighted Riemannian manifold with nonnegative Bakry-Émery Ricci curvature, it is shown that the ratio of the -th to first eigenvalues of the weighted Laplacian is do…