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arXiv · 2210.13239

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

Tullio Levi-Civita
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Abstract

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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Tullio Levi-Civita. 2022-10-20. Notion of Parallelism on a Generic Manifold and Consequent Geometrical Specification of the Riemannian Curvature. https://arxiv.org/abs/2210.13239

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