§ The Geometry of Kerr black hole      Barrett O'Neill

1.1 Manifolds  1.2 Tensor  1.3 Differential geometry  1.4 Extending Manifolds  1.5 Lorentz vector spaces  1.6 General Relativity

1.7 Submanifolds [Frobenius theorem] [Lorentz manifold] [metrics]   1.8 Cartan Computations  Cartan structure equations 這裡有一個 2-dim surface 高斯曲率的公式

1.9 Overview(概述) of a Kerr black hole

2.1 The Kerr Metric   2.2 Boyer-Lindquist blocks