论文标题
对拉普拉斯操作员的第一个特征值1型，用于紧凑的内部对称空间
A Remark on the First Eigenvalue of the Laplace Operator on 1-forms for Compact Inner Symmetric Spaces
论文作者
论文摘要
我们指出的是，在紧凑的内部对称空间$ g/k $上，由$ g $签名的杀戮形式给出的riemmannian指标，第一个（非零）特征值$ 1 $ - 形式是$ forms $ 1 $ - 是$ G的最高; 短的。得出了第一个（非零）特征值在功能上的一些结果。这是对预印本的第一个版本的修订：已经审查了有关功能频谱的不正确陈述。
We remark that on a compact inner symmetric space $G/K$, indowed with the Riemmannian metric given by the Killing form of $G$ signed-changed, the first (non-zero) eigenvalue of the Laplace operator on $1$-forms is the Casimir eigenvalue of the highest either long or short root of $G$, according as the highest weight of the isotropy representation is long or short. Some results for the first (non-zero) eigenvalue on functions are derived. This is a revision of the first version of the preprint: a non correct statement about the spectrum on functions has been reviewed.
