6533b831fe1ef96bd1298c4b
RESEARCH PRODUCT
The role of virtual work in Levi-Civita's parallel transport
Giuseppe IuratoGiuseppe Rutasubject
[SHS.HISPHILSO]Humanities and Social Sciences/History Philosophy and Sociology of Sciences[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]Virtual Works[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]Levi-CivitaMathematics::Differential GeometryParallel Transportlevi-civita; parallel transport[MATH]Mathematics [math]Virtual Work PrincipleLévi-Civita[SHS]Humanities and Social Sciencesdescription
International audience; 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |