Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich

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 b…