On the alternative description of complex holomorphic and Lorentz geometries in four dimensions
| dc.creator | Tertychniy, S. | |
| dc.date | 1993-12-29 | |
| dc.date.accessioned | 2026-07-07T03:30:14Z | |
| dc.date.available | 2026-07-07T03:30:14Z | |
| dc.description | The equivalence of a conformal metric on 4-dimensional space-time and a local field of 3-dimensional subspaces of the space of 2-forms over space-time is discussed and the basic notion of transection is introduced. Corresponding relation is spread to the metric case in terms of notion of normalized ordered oriented transection field. As a result, one obtains a possibility to handle the metric geometry without any references to the metric tensor itself on a distinct base which nevertheless contains all the information on metricity. Moreover, the notion of space-time curvature is provided with its natural counterpart in the transection `language' in a form of curvature endomorphism as well. To globalize the local constructions introduced, a certain fiber bundle is defined whose sections are equivalent to normalized ordered oriented transection fields and locally to the metric tensor on space-time. The criterion distinguishing the Lorentz geometry is discussed. The resulting alternative method of the description of space-time metricity, dealing with exterior forms foliation alone, seems to be of a power compatible with one of the standard concept based on the metric tensor. | |
| dc.description | 29 pages, uuencoded compressed PostScript, no local # | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9312038 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9312038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35469 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the alternative description of complex holomorphic and Lorentz geometries in four dimensions | |
| dc.type | text |