Artículos de revistas
Differential Forms On Riemannian (lorentzian) And Riemann-cartan Structures And Some Applications To Physics
Registro en:
Annales De La Fondation Louis De Broglie. , v. 32, n. 4, p. 425 - 478, 2007.
1824295
2-s2.0-49249109268
Autor
Rodrigues Jr. W.A.
Institución
Resumen
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 given in [10] 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 to some physical problems. A detailed account of the issues discussed in the paper appears in the table of contents. 32 4 425 478