A functional expression for the curvature of hyper-dimensional Riemannian spaces
| dc.creator | Saric, Branko | |
| dc.date | 2000-04-25 | |
| dc.date.accessioned | 2026-07-07T04:34:51Z | |
| dc.date.available | 2026-07-07T04:34:51Z | |
| dc.description | Analogously to the concept of a curvature of curve and surface, in the differential geometry, in the main part of this paper the concept of the curvature of the hyper-dimensional vector spaces of Riemannian metric is generally defined. The defined concept of the curvature of Riemannian spaces of higher dimensions M: M>1, in the further text of the paper, is functional related to the fundamental parameters of an internal geometry of space, more exactly, to components of Riemann-Christoffel's tensor of curvature. At the end, analogously to the concept of lines of curvature in the differential geometry, the concept of sub-spaces of curvature of Riemannian hyper-dimensional vector spaces is also generally defined. | |
| dc.description | LaTeX2e, 11 pages, submitted to Transactions of the AMS | |
| dc.identifier | https://arxiv.org/abs/math/0004153 | |
| dc.identifier | http://arxiv.org/abs/math/0004153 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59067 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A35 (Primary); 53A45 (Secondary) | |
| dc.title | A functional expression for the curvature of hyper-dimensional Riemannian spaces | |
| dc.type | text |