Compact Clifford-Klein forms of symmetric spaces
Compact Clifford-Klein forms of symmetric spaces
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DOI：
10.1016/0040-9383(63)90026-0
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发表时间：
1963
期刊：
影响因子：
--
通讯作者：
A. Borel
中科院分区：
文献类型：
--
作者：
A. Borel
1.1.连通且单连通的黎曼流形M的Clifford-Klein形式是指其泛黎曼覆盖(赋予M‘的度量提升的度量的泛覆盖)与M同构的黎曼流形M’。本文的主要目的是证明：
1.1. A CLIFFORD-KLEIN form of a connected and simply connected Riemannian manifold M is a Riemannian manifold M’whose universal Riemannian covering (universal covering endowed with the metric lifted from the metric of M’) is isomorphic to M. The main purpose of this Note is to prove the following: