Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound
Asma Hassannezhad
Bonn, GermanyGerasim Kokarev
Ludwig-Maximilians-Universität München, GermanyIosif Polterovich
Université de Montréal, Canada
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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.
Cite this article
Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich, Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. J. Spectr. Theory 6 (2016), no. 4, pp. 807–835
DOI 10.4171/JST/143