12 citations · 21 across the 10 of their papers we have counts for
6 papers
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…
On the Existence of Parallel one Forms
Laszlo Kozma, Salah Gomaa Elgendi
In this paper, using the Finslerian settings, we study the existence of parallel one forms (or, equivalently parallel vector fields) on a Riemannian manifold. We show that a parall…
A note on "On the classification of Landsberg spherically symmetric Finsler metrics"
Salah G. Elgendi
In this paper, we prove that all spherically symmetric Landsberg surfaces are Berwaldian. We modify the classification of spherically symmetric Finsler metrics, done by the author…
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…
On the classifiation of Landsberg spherically symmetric Finsler metrics
S. G. Elgendi
In this paper, as an application of the inverse problem of calculus of variations, we investigate two compatibility conditions on the spherically symmetric Finsler metrics. By maki…
On the problem of non Berwaldian Landsberg spaces
S. G. Elgendi
In this paper, we study the long existence problem of non Berwaldian Landsberg spaces using the conformal transformation point of view. Under conformal transformation, the Berwald…