Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and Some Applications to Physics
| dc.creator | Rodrigues Jr, Waldyr A. | |
| dc.date | 2007-12-19 | |
| dc.date | 2008-12-04 | |
| dc.date.accessioned | 2026-07-07T12:08:56Z | |
| dc.date.available | 2026-07-07T12:08:56Z | |
| dc.description | In this paper after recalling some essential tools concerning the theory of differential forms in the Cartan, Hodge and Clifford bundles over a Riemannian or Riemann-Cartan space or a Lorentzian or Riemann-Cartan spacetime we solve with details several exercises involving different grades of difficult. One of the problems is to show that a recent formula appearing in the literature for the exterior covariant derivative of the Hodge dual of the torsion 2-forms is simply wrong. We believe that the paper will be useful for students (and eventually for some experts) on applications of differential geometry on physical problems. A detailed account of the issues discussed in the paper appears in the table of contents. | |
| dc.description | Some few important misprints appearing in the version of the paper published in AFLB (in a special issue dedicated to torsion) are corrected | |
| dc.identifier | https://arxiv.org/abs/0712.3067 | |
| dc.identifier | http://arxiv.org/abs/0712.3067 | |
| dc.identifier | Ann. Fond. L. de Broglie 32 (4), 425-478 (2007) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209467 | |
| dc.subject | Mathematical Physics | |
| dc.title | Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and Some Applications to Physics | |
| dc.type | text |