Non-Euclidean method of the generalized geometry construction and its application to space-time geometry
| dc.creator | Rylov, Yuri A. | |
| dc.date | 2007-02-19 | |
| dc.date | 2007-03-20 | |
| dc.date.accessioned | 2026-07-07T07:52:34Z | |
| dc.date.available | 2026-07-07T07:52:34Z | |
| dc.description | Non-Euclidean method of the generalized geometry construction is considered. According to this approach any generalized geometry is obtained as a result of deformation of the proper Euclidean geometry. The method may be applied for construction of space-time geometries. Uniform isotropic space-time geometry other, than that of Minkowski, is considered as an example. The problem of the geometrical objects existence and their temporal evolution may be considered in the constructed space-time geometry. Such a statement of the problem is impossible in the framework of the Riemannian space-time geometry. Existence and dynamics of microparticles is considered to be conditioned by existence of corresponding geometrical objects and their temporal evolution in the space-time. Geometrization of the particle mass and its momentum is produced. | |
| dc.description | 26 pages, 0 figures, revision ofsection on null vectors | |
| dc.identifier | https://arxiv.org/abs/math/0702552 | |
| dc.identifier | http://arxiv.org/abs/math/0702552 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125924 | |
| dc.subject | General Mathematics | |
| dc.subject | 51K99 | |
| dc.title | Non-Euclidean method of the generalized geometry construction and its application to space-time geometry | |
| dc.type | text |