论文标题

在通用歧管上的平行性概念,然后是黎曼曲率的几何规范

Notion of Parallelism on a Generic Manifold and Consequent Geometrical Specification of the Riemannian Curvature

论文作者

Levi-Civita, Tullio

论文摘要

关于经典的差异几何形状,T。Levi-Civita于1916年撰写的本文介绍了对任意维度的Riemannian流形的平行性概念。与当时的科学文献相比,它还为Riemannian曲率提供了几何解释,同时也大大降低了数学形式主义。

With regard to classical differential geometry, this paper written in 1916 by T. Levi-Civita introduces the notion of parallelism for a Riemannian manifold of arbitrary dimensions. It also provides a geometrical explanation for the Riemannian curvature and at the same time significantly reduces the mathematical formalism compared with the scientific literature of the time.

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