论文标题
KERR时空上的本地共核结构
A locally conformally symplectic structure on Kerr space-time
论文作者
论文摘要
R Kerr的Ricci-Flat Lorentz 4-Manifold在1968年被B Carter展示，以支持一种经典的完全可以整合的大地测量系统。在这里，我们根据本地形式的合成结构来解释该系统，我们使用Kerr-Schild笛卡尔坐标定义的特征类（第2.2节）（第2.2节）（被视为Minkowski Space的Cayley-Penrose紧凑型的地图）。这导致了感兴趣的COBORDISM类别的定义，即接触3个manifolds和它们之间的4维局部合成性恢复。
R Kerr's Ricci-flat Lorentz 4-manifold was shown by B Carter in 1968 to support a classically completely integrable system of geodesics; here we interpret this system in terms of a locally conformally symplectic structure, which we identify (§2.2) using characteristic classes defined by Kerr-Schild Cartesian coordinates (regarded as a map to the Cayley-Penrose compactification of Minkowski space). This leads to the definition of an interesting cobordism category of contact 3-manifolds and 4-dimensional locally conformally symplectic cobordisms between them.
