论文标题
在零锥束上
On the bundle of null cones
论文作者
论文摘要
我们检查了(面向时间的)Lorentzian歧管上无处消失的无效矢量场的束结构。根据定义,我们所说的无效的部分无处可消失。结果表明,一组无处可消失的无效矢量场配备了para缔合三元部分产品。此外,无效切线束是非多项式分级束的一个示例。
We examine the bundle structure of the field of nowhere vanishing null vector fields on a (time-oriented) Lorentzian manifold. Sections of what we refer to as the null tangent, are by definition nowhere vanishing null vector fields. It is shown that the set of nowhere vanishing null vector fields comes equipped with a para-associative ternary partial product. Moreover, the null tangent bundle is an example of a non-polynomial graded bundle.