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.
IURATO, G., RUTA, G. (2015). The role of virtual work in Levi-Civita's parallel transport. PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS [10.1002/pamm.201510342].
The role of virtual work in Levi-Civita's parallel transport
IURATO, Giuseppe;
2015-01-01
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 | |
|---|---|---|---|
|
Iurato_et_al-2015-PAMM.pdf
accesso aperto
Descrizione: articolo
Tipologia:
Versione Editoriale
Dimensione
104.69 kB
Formato
Adobe PDF
|
104.69 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
