论文标题
Kundt三维左不变的空间
Kundt Three Dimensional Left Invariant Spacetimes
论文作者
论文摘要
Kundt的空间对于一般相对论非常重要。我们表明，昆特时空是洛伦兹的歧管，具有非偏见的各向同性地球矢量场，其正交分布可集成并确定完全地理叶状。我们给出了kundt的局部结构，并在谎言组上提供了左不变结构的某些特性。最后，我们将所有左不变的昆特结构分类为三维简单地连接的单二型谎言基团。
Kundt spacetimes are of great importance to General Relativity. We show that a Kundt spacetime is a Lorentz manifold with a non-singular isotropic geodesic vector field having its orthogonal distribution integrable and determining a totally geodesic foliation. We give the local structure of Kundt spacetimes and some properties of left invariant Kundt structures on Lie groups. Finally, we classify all left invariant Kundt structures on three dimensional simply connected unimodular Lie groups.
