6 citations · 15 across the 20 of their papers we have counts for
20 papers
Golden Finsler Geometry: Local Properties and Global Deformations
Ebtsam H. Taha, Bankteshwar Tiwari, A. Soleiman
We introduce the concept of a golden Finsler structure on a finite-dimensional smooth manifold and investigate it from both local (coordinate-based) and global (coordinate-free…
On Generalized Matsumoto Metrics with a Special -form
A. Soleiman, Ebtsam H. Taha
We explore a generalization of Matsumoto metric intrinsically. Given a Finsler manifold which admits a concurrent -vector field , we consider the change $\wi…
On the generalized -Kropina metrics
Ebtsam H. Taha
Generalized -Kropina metrics appear naturally as a spacetime geometry compatible with Lorentz symmetry breaking, leading to useful applications in modified gravity and cosmology…
A Concurrent Generalized Kropina Change
A. Soleiman, Ebtsam H. Taha
This paper investigates a generalized Kropina metric featuring a specific -form. Start with a Finsler manifold admits a concurrent -vector field , then, 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^{ϕ(x,y)}F(x…
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…
Harmonic Finsler manifolds of -type
Ebtsam H. Taha
In this paper we construct a new class of harmonic and asymptotically harmonic Finsler manifolds of -type. This class is defined by a Riemannian metric and a special 1-f…
Busemann functions in asymptotically harmonic Finsler manifolds
Hemangi Shah, Ebtsam H. Taha
In the present paper, we investigate Busemann functions in a general Finsler setting as well as in asymptotically harmonic Finsler manifolds. In particular, we show Busemann functi…
Tripathi Connection in Finsler Geometry
A. Soleiman, Ebtsam H. Taha
Adopting the pullback formalism, a new linear connection in Finsler geometry has been introduced and investigated. Such connection unifies all formerly known Finsler connections an…
On almost rational Finsler metrics
Ebtsam H. Taha, Bankteshwar Tiwari
We study a special class of Finsler metrics which we refer to as Almost Rational Finsler metrics (shortly, AR-Finsler metrics). We give necessary and sufficient conditions for an A…
On Finsler surfaces with certain flag curvatures
Ebtsam H. Taha
In the present paper, we find out necessary and sufficient conditions for a Finsler surface to be Landsbregian in terms of the Berwald curvature -forms. We study Finsler…
On Harmonic and Asymptotically Harmonic Finsler Manifolds
Hemangi Shah, Ebtsam H. Taha
In the present paper, we introduce and investigate various types of harmonic Finsler manifolds and find out the interrelation between them. We give some characterizations of such s…
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…
Alternative Lagrangians obtained by scalar deformations
Oana A. Constantinescu, Ebtsam H. Taha
We study non-conservative like SODEs admitting explicit Lagrangian descriptions. Such systems are equivalent to the system of Lagrange equations of some Lagrangian , including a…
Frobenius integrability and Finsler metrizability for -dimensional sprays
Ioan Bucataru, Georgeta Creţu, Ebtsam H. Taha
For a -dimensional non-flat spray we associate a Berwald frame and a -dimensional distribution that we call the Berwald distribution. The Frobenius integrability of the Berwa…
New Conformal Invariants in Absolute Parallelism Geometry
Nabil L. Youssef, A. Soleiman, Ebtsam H. Taha
The aim of the present paper is to investigate conformal changes in absolute parallelism geometry. We find out some new conformal invariants in terms of the Weitzenböck connection…
Connections in sub-Riemannian geometry of parallelizable distributions
Nabil L. Youssef, Ebtsam H. Taha
The notion of a parallelizable distribution has been introduced and investigated. A non-integrable parallelizable distribution carries a natural sub-Riemannian structure. The geome…
Gravity theory in SAP-geometry
Nabil L. Youssef, Amr M. Sid-Ahmed, Ebtsam H. Taha
The aim of the present paper is to construct a field theory in the context of absolute parallelism (Teleparallel) geometry under the assumption that the canonical connection is sem…
On Finslerized Absolute Parallelism spaces
Nabil L. Youssef, Amr M. Sid-Ahmed, Ebtsam H. Taha
The aim of the present paper is to construct and investigate a Finsler structure within the framework of a Generalized Absolute Parallelism space (GAP-space). The Finsler structure…