Eigenvalue estimates with applications to minimal surfaces
Eigenvalue estimates with applications to minimal surfaces
We study eigenvalue estimates of branched Riemannian coverings of compact manifolds.We prove that if φ : M n -> N n is a branched Riemannian covering, and {/i/}Jio and {λ, }°L 0 are the eigenvalues of the Laplace-Beltrami operator on M and N, respectively, then for all positive /, where …