121 citations · 538 across the 72 of their papers we have counts for
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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.DG2016★ 46 cited
Bakry-Emery curvature and diameter bounds on graphs
Shiping Liu, Florentin Münch, Norbert Peyerimhoff
We prove diameter bounds for graphs having positive Ricci-curvature bound in Bakry-Emery sense. One result using only curvature and maximal vertex degree is sharp in case of hyperc…