S. G. Elgendi

activity

20092025

most citedNew Finsler Package

15 citations · 35 across the 25 of their papers we have counts for

collaborators

27 papers

math.DG2025

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…

gr-qc2025

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…

math.DG2025

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 $(M, F)$ , such as $C$ -anisotropic and horizontal $C$ -anisotropic conformal transform…

math.DG2025

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 $(M, F)$ , namely, the change $\overline{F}(x,y)=e^{ϕ(x,y)}F(x…

math.DG2024

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…

math.DG2024

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…

math.DG2024★ 3 cited

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…

math.DG2024

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 $(M, F)$ , that is, $ F(x,y)\longmapsto \overline{F}(x,y)=e^{ϕ(x,y)}F…

math.DG2024

On the covariant coefficients of geodesic sprays on Finsler manifolds

S. G. Elgendi, A. Soleiman, Nabil L. Youssef

For a Finsler metric $F$ , we introduce the notion of $F$ -covariant coefficients $H_{i}$ of the geodesic spray of $F$ (Def. 3.1). We study some geometric consequences concerning the o…

math.DG2024

Finsler surfaces with vanishing $T$ -tensor

Salah G. Elgendi

In this paper, for Finsler surfaces, we prove that the T-condition and $σ T$ -condition coincide. For higher dimensions $n \geq 3$ , we illustrate by an example that the T-condition an…

math.DG2023

An intrinsic proof of Numata's theorem on Landsberg spaces

Amr Soleiman, Salah G. Elgendi

In this paper, we study the unicorn's Landsberg problem from an intrinsic point of view. Precisely, we investigate a coordinate-free proof of Numata's theorem on Landsberg spaces o…

math.DG2022

A new look at Finsler surfaces and the Landsberg's PDE

Salah G. Elgendi

In this paper, we introduce a new look at Finsler surfaces. Landsberg surfaces are Finsler surfaces that are solutions of a system of non-linear partial differential equations. Con…

math.DG2021★ 1 cited

A note on L. Zhou's result on Finsler surfaces with $K = 0$ and $J = 0$

S. G. Elgendi, Nabil L. Youssef

In this note, we show that the examples of non Berwaldian Landsberg surfaces with vanishing flag curvature, obtained in \cite{Zhou}, are in fact Berwaldian. Consequently, Bryant's…

math.DG2019

Solutions for the Landsberg unicorn problem in Finsler geometry

S. G. Elgendi

It is still a long-standing open problem in Finsler geometry, is there any regular Landsberg metric which is not Berwaldian. However, there are non-regular Landsberg metrics which…

math.DG2018

Coordinate-free study of Finsler spaces of $H_{p}$ -scalar curvature

A. Soleiman, S. G. Elgendi

The aim of the present paper is to provide an \emph{intrinsic} investigation of special Finsler spaces of $H_{p}$ -scalar curvature and of $H_{p}$ -constant curvature. Characteriza…

math.DG2018

$(α, β)$ -metrics satisfying the $T$ -Condition or the $σ T$ -Condition

S. G. Elgendi, Laszlo Kozma

We describe the $(α, β)$ -metrics whose the $T$ -tensor vanishes ( $T$ -condition) and the $(α, β)$ -metrics that satisfy the $σ T$ -condition $σ_{h} T_{ij k}^{h} = 0$ , where $σ_h=\frac{\partial σ}…

math.DG2018★ 6 cited

Semi Concurrent vector fields in Finsler geometry

Nabil L. Youssef, S. G. Elgendi, Ebtsam H. Taha

In the present paper, we introduce and investigate the notion of a semi concurrent vector field on a Finsler manifold. We show that some special Finsler manifolds admitting such ve…

math.DG2017

One form deformation of sprays

S. G. Elgendi

In this paper, we introduce the notion of one form deformation of sprays. The metrizability of the new spray, when the background spray is flat, is characterized. Therefore, we obt…

math.CA2016

Freedom of h(2)-variationality and metrizability of sprays

Salah G. Elgendi, Zoltán Muzsnay

In this paper we are investigating variational homogeneous second order differential equations by considering the questions of how many different variational principles exist for a…

math.DG2014★ 1 cited