Infimum of the Spectrum of Laplace-Beltrami Operator on Classical Bounded Symmetric Domains with Bergman Metric

摘要

In this paper,we estimate the infimum of the spectrum of the Laplace-Beltrami operator with K(a)hler metric on the classical bounded symmetric domains.We will give an explicit range for the infimum of the spectrum of the Laplace-Beltrami operator on the second type classical bounded symmetric domains.In particular,for those domains with rank 1,we obtain an explicit formula,which agrees with a previously known result.