9 papers
The existence and uniqueness of Hashiguchi connection in KG-approach
S. G. Elgendi, A. Soleiman
In this study, we treat intrinsic Finsler geometry using the Klein-Grifone approach (KG-approach). A uniqueness and existence theorem for the Hashiguchi connection on a Finsler man…
Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution
A. Tawfik, S. G. Elgendi, M. Hanafy
To investigate whether the Universe underwent a singularity or maintained a nonsingular state, we carry out analytical and numerical analyses of the evolution of the Raychaudhuri e…
Special anisotropic conformal changes of conic pseudo-Finsler surfaces
Nabil L. Youssef, Ebtsam H. Taha, A. A. Kotb +1
This study presents many special anisotropic conformal changes of a conic pseudo-Finsler surface , such as -anisotropic and horizontal -anisotropic conformal transform…
Anisotropic conformal change of conic pseudo-Finsler surfaces, II
Nabil L. Youssef, S. G. Elgendi, A. A. Kotb +1
This paper is a continuation of our investigation of the anisotropic conformal change of a conic pseudo-Finsler surface , namely, the change $\overline{F}(x,y)=e^{Ï(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…
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…