标题： 一阶投影紧致爱因斯坦流形的渐近对称性 显示英文标题

标题： Asymptotic symmetries of projectively compact order one Einstein manifolds

摘要： 我们证明了维度为$n$的射影紧致爱因斯坦流形的边界可以通过从射影紧致化自然构造的一个线丛来延拓。这种延拓后的边界使得其自同构可以被识别为紧致化的渐近对称性。这一构造的动机来源于我们对$n+1$维流形的一种新的弯曲轨道分解的研究，我们证明该分解会得到一个射影紧致一阶爱因斯坦流形上的线丛。 显示英文摘要

摘要： We show that the boundary of a projectively compact Einstein manifold of dimension $n$ can be extended by a line bundle naturally constructed from the projective compactification. This extended boundary is such that its automorphisms can be identified with asymptotic symmetries of the compactification. The construction is motivated by the investigation of a new curved orbit decomposition for a $n+1$ dimensional manifold which we prove results in a line bundle over a projectively compact order one Einstein manifolds.