The current literature on history of science reports that Levi-Civita’s parallel transport was motivated by his attempt to provide the covariant derivative of absolute differential calculus with a geometrical interpretation.1 Levi-Civita’s memoir on the subject was explicitly aimed at simplifying the geometrical computation of the curvature of a Riemannian manifold. In the present paper we wish to point out the possible role implicitly played by the principle of virtual work in Levi-Civita’s conceptual reasoning to formulate parallel transport.

On the role of virtual work in Levi-Civita’s parallel transport / Iurato, Giuseppe; Ruta, Giuseppe. - In: ARCHIVE FOR HISTORY OF EXACT SCIENCES. - ISSN 0003-9519. - STAMPA. - 70:5(2016), pp. 553-565. [10.1007/s00407-016-0177-0]

On the role of virtual work in Levi-Civita’s parallel transport

RUTA, Giuseppe
2016

Abstract

The current literature on history of science reports that Levi-Civita’s parallel transport was motivated by his attempt to provide the covariant derivative of absolute differential calculus with a geometrical interpretation.1 Levi-Civita’s memoir on the subject was explicitly aimed at simplifying the geometrical computation of the curvature of a Riemannian manifold. In the present paper we wish to point out the possible role implicitly played by the principle of virtual work in Levi-Civita’s conceptual reasoning to formulate parallel transport.
2016
Levi-Civita; parallel transport; history of science
01 Pubblicazione su rivista::01a Articolo in rivista
On the role of virtual work in Levi-Civita’s parallel transport / Iurato, Giuseppe; Ruta, Giuseppe. - In: ARCHIVE FOR HISTORY OF EXACT SCIENCES. - ISSN 0003-9519. - STAMPA. - 70:5(2016), pp. 553-565. [10.1007/s00407-016-0177-0]
File allegati a questo prodotto
File Dimensione Formato  
Ruta_Levi-Civita's_2016_pre-print.pdf

accesso aperto

Note: Articolo principale in pre-print
Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Creative commons
Dimensione 173.76 kB
Formato Adobe PDF
173.76 kB Adobe PDF
Iurato_OnThe Role_2016.pdf

solo gestori archivio

Tipologia: Licenza (contratto editoriale)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 479.28 kB
Formato Adobe PDF
479.28 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/853153
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
social impact