论文标题
双摇摆产品k \'ahler歧管的obata型特征
An Obata-type characterization of doubly-warped product K\''ahler manifolds
论文作者
论文摘要
我们为K \''ahler歧管的某些家庭提供了一个特征{\slàlaobata}。这些结果与来自\ cite {obata62}的著名obata刚性定理的其他扩展相同，例如\ cite {ranjsant97}和\ cite {santhanam07}中的概括。此外，我们对所谓的k \''ahler双摇摆的产品结构进行了完整描述，其基础指标是爱因斯坦。
We give a characterization {\sl à la Obata} for certain families of K\''ahler manifolds. These results are in the same line as other extensions of the well-known Obata's rigidity theorem from \cite{Obata62}, like for instance the generalizations in \cite{RanjSant97} and \cite{Santhanam07}. Moreover, we give a complete description of the so-called K\''ahler doubly-warped product structures whose underlying metric is Einstein.
