固执的爱因斯坦：爱因斯坦与列维-奇维塔的通信
Einstein the Stubborn: Correspondence between Einstein and Levi-Civita
摘要：
在发展他的1915年广义相对论之前，爱因斯坦持有“Entwurf”理论。来自帕多瓦的图里奥·列维-奇维塔（Tullio Levi-Civita）是张量演算的创始人之一，他反对这一理论中的一个主要问题，这反映了它的全局问题：它的场方程被限制在一个适应的坐标系中。爱因斯坦证明了他的引力张量是适应坐标系的协变张量。从1915年3月开始到1915年5月结束，列维-奇维塔通过书信和明信片交换了对爱因斯坦上述证明的反对意见。爱因斯坦试图找到方法来保存他的证明，发现很难放弃它。最后列维奇维塔说服爱因斯坦关于一个错误，他的论点。然而，直到1916年春天，在爱因斯坦放弃1914年理论很久之后，他才终于理解了1914年引力张量的主要问题。1915年秋天，哥廷根杰出的数学家大卫·希尔伯特发现了爱因斯坦1914年推导中的核心缺陷。1916年3月30日，爱因斯坦给希尔伯特写了一封信，信中承认：“你在我1914年论文中发现的错误，我现在已经完全清楚了。
英文摘要：
Before developing his 1915 General Theory of Relativity, Einstein held the "Entwurf" theory. Tullio Levi-Civita from Padua, one of the founders of tensor calculus, objected to a major problematic element in this theory, which reflected its global problem: its field equations were restricted to an adapted coordinate system. Einstein proved that his gravitational tensor was a covariant tensor for adapted coordinate systems. In an exchange of letters and postcards that began in March 1915 and ended in May 1915, Levi-Civita presented his objections to Einstein's above proof. Einstein tried to find ways to save his proof, and found it hard to give it up. Finally Levi-Civita convinced Einstein about a fault in his arguments. However, only in spring 1916, long after Einstein had abandoned the 1914 theory, did he finally understand the main problem with his 1914 gravitational tensor. In autumn 1915 the Göttingen brilliant mathematician David Hilbert found the central flaw in Einstein's 1914 derivation. On March 30, 1916, Einstein sent to Hilbert a letter admitting, "The error you found in my paper of 1914 has now become completely clear to me".
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