Finsleroid-Finsler Space of Involutive Case
| dc.creator | Asanov, G. S. | |
| dc.date | 2007-10-20 | |
| dc.date.accessioned | 2026-07-07T08:37:34Z | |
| dc.date.available | 2026-07-07T08:37:34Z | |
| dc.description | The Finsleroid-Finsler space is constructed over an underlying Riemannian space by the help of a scalar $g(x)$ and an input 1-form $b$ of unit length. Explicit form of the entailed tensors, as well as the respective spray coefficients, is evaluated. The involutive case means the framework in which the characteristic scalar $g(x)$ may vary in the direction assigned by $b$, such that $dg=μb$ with a scalar $μ(x)$. We show by required calculation that the involutive case realizes through the $A$-special relation the picture that instead of the Landsberg condition $\dot A_{ijk}=0$ we have the vanishing $\dot{\al}_{ijk}=0$ with the normalized tensor $\al_{ijk}=A_{ijk}/||A||$. Under the involutive condition, the derivative tensor $A_{i|j}$ and the curvature tensor $R^i{}_k$ have explicitly been found, assuming the input 1-form $b$ be parallel. Key words: Finsler metrics, spray coefficients, curvature tensors. | |
| dc.identifier | https://arxiv.org/abs/0710.3814 | |
| dc.identifier | http://arxiv.org/abs/0710.3814 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140441 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.title | Finsleroid-Finsler Space of Involutive Case | |
| dc.type | text |