887 citations
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23 papers · 1 filter
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…
A note on L. Zhou's result on Finsler surfaces with and
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…
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…