论文标题
正常的拖拉机保形束和编成编辑洛伦兹歧管中的两个间距submanifolds
Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds
论文作者
论文摘要
对于每一个编纂的Lorentz歧管的两个间距submanifold，以及每个选择正常灯光矢量场的选择，我们引入了一种构造拖拉机保形束的规范方法。我们表征了诱导的Submanifold的诱导连接定义拖拉机连接时，在这种情况下，当与诱导连接的拖拉机共形束时，诱导的连接是诱导度量的标准配置。最后，该拖拉机保形束的正态性条件以诱导连接的形式来表征，其特征是始于启动间距submanifold的内在几何和外在几何形状之间的牢固关系。
For every codimension two spacelike submanifold of a Lorentz manifold and each choice of a normal lightlike vector field, we introduce a canonical way to construct a tractor conformal bundle. We characterize when the induced connection of a such submanifold defines a tractor connection and then, in this case, when this tractor conformal bundle with the induced connection is standard for the induced metric. Finally, the normality condition for this tractor conformal bundle endowed with the induced connection is characterized in terms of a strong relationship between the intrinsic and the extrinsic geometry of the starting spacelike submanifold.
