论文标题
第一个BGG操作员在同质形状的几何形状上
First BGG operators on homogeneous conformal geometries
论文作者
论文摘要
我们研究了第一个BGG操作员及其有关均匀形状几何形状的解决方案。我们专注于保形杀伤量，尤其是yano形式和扭曲器旋转器。我们开发了一个不变的电极，使我们只能使用代数计算明确找到解决方案。我们还讨论了降低全能和保守数量的保形圆的应用。我们证明了我们的结果，其中主要来自一般相对论的均匀形状几何形状。
We study first BGG operators and their solutions on homogeneous conformal geometries. We focus on conformal Killing tensors, conformal Killing--Yano forms and twistor spinors in particular. We develop an invariant calculus that allows us to find solutions explicitly using only algebraic computations. We also discuss applications to holonomy reductions and conserved quantities of conformal circles. We demonstrate our result on examples of homogeneous conformal geometries coming mostly from general relativity.
