Einstein度规的迁移度
The degree of mobility of Einstein metrics
摘要：
如果两个伪黎曼度量的非参数化测地线重合，则称它们是射影等价的。度量的可动度是与之射影等价的度量空间的维数，本文给出了单连通流形上黎曼和洛伦兹爱因斯坦度量的可动度的完整可能值列表，并描述了本质射影向量场空间的所有可能维数.
英文摘要：
Two pseudo-Riemannian metrics are called projectively equivalent if their unparametrized geodesics coincide. The degree of mobility of a metric is the dimension of the space of metrics that are projectively equivalent to it. We give a complete list of possible values for the degree of mobility of Riemannian and Lorentzian Einstein metrics on simply connected manifolds, and describe all possible dimensions of the space of essential projective vector fields.
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