Published on *Department of Mathematics* (https://math.yale.edu)

September 3, 2019 - 4:15pm

DL413

Let M be a geometrically finite real rank one locally symmetric manifolds. We will take about the spectrum of the Laplace operator on M. By using the Lax-Philips inequality of the energy form, we will prove that the spectrum is finite in a critical interval which is given by the volume entropy.