Einstein manifold

（重定向自Einstein space）

In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein because this condition is equivalent to saying that the metric is a solution of the vacuum Einstein field equations (with cosmological constant), although the dimension, as well as the signature, of the metric can be arbitrary, unlike the four-dimensional Lorentzian manifolds usually studied in general relativity.

单词	Einstein space
释义	Einstein space 原声例句宇宙的奇迹 According to Einstein, space is not just an empty stage, it's a fabric called space-time. 根据爱因斯坦的理论，空间其实并不“空”，而是充斥着一种叫做“时空”的结构。英语百科 Einstein manifold （重定向自Einstein space） In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein because this condition is equivalent to saying that the metric is a solution of the vacuum Einstein field equations (with cosmological constant), although the dimension, as well as the signature, of the metric can be arbitrary, unlike the four-dimensional Lorentzian manifolds usually studied in general relativity.
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