Calculus of Variations and Geometric Measure Theory

A. Hassannezhad - G. Kokarev - I. Polterovich

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

created by hassannezhad1 on 04 Dec 2020



Inserted: 4 dec 2020

Year: 2015

ArXiv: 1510.07281 PDF


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.