Toshiyuki SUGAWA

On the bottom of the spectrum of a Riemann surface of infinite topological type

Abstract

In this note, we shall present a sufficient condition for the positivity of the bottom of the spectrum of a Riemann surface. In particular, we shall show that an open Riemann surface of bounded geometry and of finite genus has positive bottom of the spectrum.

submission: November 20, 1997

dvi file41516 bytes
PDF file206694 bytes

Back