标题： 奇异流形上的环面数据和Killing形式$T^{1,1}$ 显示英文标题

标题： Toric data and Killing forms on homogeneous Sasaki-Einstein manifold $T^{1,1}$

摘要： 在整个论文中，我们研究了共形奇点的复结构$C(T^{1,1})$，主要利用凯勒托里克流形的辛和复方法之间的相互作用。 使用托里克数据对卡拉比-丘流形$C(T^{1,1})$的描述使我们能够显式地写出复坐标，并应用标准方法来提取基流形上的特殊杀戮形式。 作为结果，我们得到了五维Sasaki-Einstein空间$T^{1,1}$上完整的特殊杀戮形式集。 显示英文摘要

摘要： Throughout this paper we investigate the complex structure of the conifold $C(T^{1,1})$ basically making use of the interplay between symplectic and complex approaches of the K\"{a}hler toric manifolds. The description of the Calabi-Yau manifold $C(T^{1,1})$ using toric data allows us to write explicitly the complex coordinates and apply standard methods for extracting special Killing forms on the base manifold. As an outcome, we obtain the complete set of special Killing forms on the five-dimensional Sasaki-Einstein space $T^{1,1}$.