论文标题
在局部均匀的伪里曼尼亚紧凑型爱因斯坦歧管上
On locally homogeneous pseudo-Riemannian compact einstein manifolds
论文作者
论文摘要
我们问一个一般问题：什么是本地均匀的紧凑型伪居民爱因斯坦歧管？我们表明，任何简单的非compact谎言组的标准紧凑型克利福德 - 克莱因形式至少接受一个爱因斯坦度量。我们猜想这些基本上是唯一可能是局部同质的爱因斯坦伪里曼尼亚人的紧凑型歧管，它使用T. kobayashi的猜想作为指导原理。
We ask a general question: what are locally homogeneous compact pseudo-Riemannian Einstein manifolds? We show that any standard compact Clifford-Klein form of a simple non-compact Lie group admits at least one Einstein metric. We conjecture that these are basically the only possible locally homogeneous Einstein pseudo-Riemannian compact manifolds using T. Kobayashi's conjecture as a guiding principle.
