According to current history of science, Levi-Civita introduced parallel transport solely to give a geometrical interpretation to the covariant derivative of absolute differential calculus. Levi-Civita, however, searched a simple computation of the curvature of a Riemannian manifold, basing on notions of the Italian school of mathematical physics of his time: holonomic constraints, virtual displacements and work, which so have a remarkable, if not dominant, role in the origin of parallel transport.
The role of virtual work in Levi-Civita's parallel transport / Iurato, Giuseppe; Ruta, Giuseppe. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - STAMPA. - 15:(2015), pp. 705-706. (Intervento presentato al convegno 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) tenutosi a Lecce; Italy nel 23-27 marzo 2015) [10.1002/pamm.201510342].
The role of virtual work in Levi-Civita's parallel transport
RUTA, Giuseppe
2015
Abstract
According to current history of science, Levi-Civita introduced parallel transport solely to give a geometrical interpretation to the covariant derivative of absolute differential calculus. Levi-Civita, however, searched a simple computation of the curvature of a Riemannian manifold, basing on notions of the Italian school of mathematical physics of his time: holonomic constraints, virtual displacements and work, which so have a remarkable, if not dominant, role in the origin of parallel transport.| File | Dimensione | Formato | |
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