15 citations · 35 across the 25 of their papers we have counts for
6 papers · 1 filter
Parallel one forms on special Finsler manifolds
Salah G. Elgendi
In this paper, we investigate the existence of parallel 1-forms on specific Finsler manifolds. We demonstrate that Landsberg manifolds admitting a parallel 1-form have a mean Berwa…
On Riemann curvature of spherically symmetric metrics
S. G. Elgendi
In this paper, studying the inverse problem, we establish a curvature compatibility condition on a spherically symmetric Finsler metric. As an application, we characterize the sphe…
Metrizability of SO(3)-invariant connections: Riemann versus Finsler
Nicoleta Voicu, Salah Gomaa Elgendi
For a torsion-free affine connection on a given manifold, which does not necessarily arise as the Levi-Civita connection of any pseudo-Riemannian metric, it is still possible that…
Anisotropic conformal change of conic pseudo-Finsler surfaces, I
S. G. Elgendi, Nabil L. Youssef, A. A. Kotb +1
The present work is devoted to investigate anisotropic conformal transformation of conic pseudo-Finsler surfaces , that is, $ F(x,y)\longmapsto \overline{F}(x,y)=e^{ϕ(x,y)}F…
On the covariant coefficients of geodesic sprays on Finsler manifolds
S. G. Elgendi, A. Soleiman, Nabil L. Youssef
For a Finsler metric , we introduce the notion of -covariant coefficients of the geodesic spray of (Def. 3.1). We study some geometric consequences concerning the o…
Finsler surfaces with vanishing -tensor
Salah G. Elgendi
In this paper, for Finsler surfaces, we prove that the T-condition and -condition coincide. For higher dimensions , we illustrate by an example that the T-condition an…