论文标题
从旋转角度来看
Homogeneous Sasakian and 3-Sasakian Structures from the Spinorial Viewpoint
论文作者
论文摘要
我们在任意维度上为Sasakian和3-Sasakian结构进行了旋转构造，在第5和7方面概括了先前已知的结果。此外，我们可以完整描述在同质的3-Sasakian空间上向不变的纺纱器空间的完整描述，并表明它被某些不可发射的spinor spinor spinor spinor spinor spine spriant spine spine spectiant spinial spinor spine spine。最后，我们为在同质的3-Sasakian空间上不变的Riemannian杀死旋转器的空间提供了基础，并确定其中哪种诱导了同质的3-Sasakian结构。
We give a spinorial construction of Sasakian and 3-Sasakian structures in arbitrary dimension, generalizing previously known results in dimensions 5 and 7. Furthermore, we obtain a complete description of the space of invariant spinors on a homogeneous 3-Sasakian space, and show that it is spanned by the Clifford products of invariant differential forms with a certain invariant Killing spinor. Finally, we give a basis for the space of invariant Riemannian Killing spinors on a homogeneous 3-Sasakian space, and determine which of these induce the homogeneous 3-Sasakian structure.
