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arXiv · 1510.07281

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad·Gerasim Kokarev·Iosif Polterovich
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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.

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Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich. 2015-10-25. Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. https://arxiv.org/abs/1510.07281

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