Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad; Gerasim Kokarev; Iosif Polterovich

arxiv: 1510.07281 · v3 · pith:7YHBEFHHnew · submitted 2015-10-25 · 🧮 math.DG · math.SP

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad , Gerasim Kokarev , Iosif Polterovich This is my paper

classification 🧮 math.DG math.SP

keywords eigenvalueinequalitiesmanifoldsproblemsriemannianboundboundarybounds

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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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Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

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