This historical note is a detailed, technical reconstruction of the crucial role played by Lagrange’s principle of virtual work in working out the fundamental notion of parallel transport on a Riemannian manifold described in the original Levi-Civita’s argument.
Cite this article
Giuseppe Iurato, Analytical mechanics and Levi-Civita’s parallel transport. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 2, pp. 293–304DOI 10.4171/RLM/763