Five-Dimensional Tangent Vectors in Space-Time: IV. Generalization of Exterior Calculus
| dc.creator | Krasulin, Alexander | |
| dc.date | 1998-08-18 | |
| dc.date.accessioned | 2026-07-07T04:32:29Z | |
| dc.date.available | 2026-07-07T04:32:29Z | |
| dc.description | This part of the series is devoted to the generalization of exterior differential calculus. I give definition to the integral of a five-vector form over a limited space-time volume of appropriate dimension; extend the notion of the exterior derivative to the case of five-vector forms; and formulate the corresponding analogs of the generalized Stokes theorem and of the Poincare theorem about closed forms. I then consider the five-vector generalization of the exterior derivative itself; prove a statement similar to the Poincare theorem; define the corresponding five-vector generalization of flux; and derive the analog of the formula for integration by parts. I illustrate the ideas developed in this paper by reformulating the Lagrange formalism for classical scalar fields in terms of five-vector forms. In conclusion, I briefly discuss the five-vector analog of the Levi-Civita tensor and dual forms. | |
| dc.description | Full version of math-ph/9804011, 13 pages, no figures, LaTex | |
| dc.identifier | https://arxiv.org/abs/math-ph/9808006 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9808006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58209 | |
| dc.subject | Mathematical Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Five-Dimensional Tangent Vectors in Space-Time: IV. Generalization of Exterior Calculus | |
| dc.type | text |