论文标题
在PSL(2,c)和H^3的大地学空间上,作为Riemannian Holomorphic歧管
On PSL(2,C) and on the space of geodesics of H^3 as Riemannian holomorphic manifolds
论文作者
论文摘要
我们讨论了PSL(2,C),SL(2,C)的一些几何方面,以及H^3的大地测量g,配备了一些恒定截面曲率的Riemannian Holomorphic歧管的合适结构。我们还观察到G是PSL组(2,C)的对称空间,并使用它来推断其全态Riemannian指标之间的一些相关性。
We discuss some geometric aspects of PSL(2,C), SL(2,C), and the space G of the geodesics of H^3 equipped with some suitable structures of Riemannian holomorphic manifolds of constant sectional curvature. We also observe that G is a symmetric space for the group PSL(2,C) and use it to deduce some correlations between their holomorphic Riemannian metrics.