标题： 2+1爱因斯坦引力的自对偶解与负宇宙学常数 显示英文标题

标题： Self-dual solutions of 2+1 Einstein gravity with a negative cosmological constant

摘要： 所有通过由(2+1)-反德西特空间通过同构变换得到的因果规律几何结构，形式为$P \rightarrow (\exp \pi\xi) P$，其中$\xi$是$so(2,2)$的自对偶基灵向量，都已被显式构造。它们显著的性质（基灵向量，基灵旋量）被列出。这些具有负宇宙常数的爱因斯坦引力解也对应用于角平移对称性$\phi \rightarrow \phi+a$的弦对偶变换保持不变。通过构建适应于识别的{\em 全局}坐标，分析变得特别方便。 显示英文摘要

摘要： All the causally regular geometries obtained from (2+1)-anti-de Sitter space by identifications by isometries of the form $P \rightarrow (\exp \pi\xi) P$, where $\xi$ is a self-dual Killing vector of $so(2,2)$, are explicitely constructed. Their remarkable properties (Killing vectors, Killing spinors) are listed. These solutions of Einstein gravity with negative cosmological constant are also invariant under the string duality transformation applied to the angular translational symmetry $\phi \rightarrow \phi+a$ The analysis is made particularly convenient through the construction of {\em global} coordinates adapted to the identifications.}