Parallel Objects and Field Equations
| dc.creator | Donev, Stoil | |
| dc.creator | Tashkova, Maria | |
| dc.date | 2002-05-30 | |
| dc.date.accessioned | 2026-07-07T04:29:14Z | |
| dc.date.available | 2026-07-07T04:29:14Z | |
| dc.description | This paper considers a generalization of the existing concept of parallel (with respect to a given connection) geometric objects and its possible usage as a suggesting rule in searching for adequate field equations in theoretical physics. The generalization tries to represent mathematically the two-sided nature of the physical objects, the {\it change} and the {\it conservation}. The physical objects are presented mathematically by sections $Ψ$ of vector bundles, the admissible changes $DΨ$ are described as a rsult of the action of appropriate differential operators $D$ on these sections, and the conservation propertieis are accounted for by the requirement that suitable projections of $DΨ$ on $Ψ$ and on other appropriate sections must be zero. It is shown that the most important equations of theoretical physics obey this rule. Extended forms of Maxwell and Yang-Mills equations are also considered. | |
| dc.description | 14 pages, Latex2e, no figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0205046 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0205046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57077 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53Z05 | |
| dc.title | Parallel Objects and Field Equations | |
| dc.type | text |