On PSL(2,C) and on the space of geodesics of H^3 as Riemannian holomorphic manifolds

Autor:	Emam, Christian El
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.02142 Zobrazit plný text záznamu View this record from Arxiv