|
Bounds on eigenvalues of the Laplacian for certain hyperbolic 3-manifolds by Nina White.
In this talk I will prove that in the presence of bounds for the rank of the fundamental group and the injectivity radius, the kth eigenvalue of the Laplacian of a closed hyperbolic 3-manifold M is bounded from above and below by a multiple of vol(M)^{-2}. |
|