论文标题
Lorentzian Weyl空间上的平行纺纱器
Parallel spinors on Lorentzian Weyl spaces
论文作者
论文摘要
发现具有加权平行旋转器的Lorentzian Weyl旋转歧管的载体代数。对于Lorentzian Weyl歧管，允许复发性零向量场引入了类似于Kundt和Walker的特殊局部坐标。使用此，给出了所有Lorentzian Weyl旋转歧管的局部形式，并给出了加权平行旋转器的局部形式。分析了所获得的Weyl结构的爱因斯坦 - 韦尔方程，并给出了具有加权平行旋转器的爱因斯坦 - 韦尔空间的例子。
Holonomy algebras of Lorentzian Weyl spin manifolds with weighted parallel spinors are found. For Lorentzian Weyl manifolds admitting recurrent null vector fields are introduced special local coordinates similar to Kundt and Walker ones. Using that, the local form of all Lorentzian Weyl spin manifolds with weighted parallel spinors is given. The Einstein-Weyl equation for the obtained Weyl structures is analyzed and examples of Einstein-Weyl spaces with weighted parallel spinors are given.
