Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Published 25 Oct 2015 in math.DG and math.SP | (1510.07281v3)

Abstract: We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian manifolds, and prove the versions of these results for the Dirichlet and Neumann boundary value problems. Eigenvalue multiplicity bounds and related open problems are also discussed.

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