4 citations · 13 across the 20 of their papers we have counts for
5 papers · 1 filter
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…
Hopf-Rinow Theorem of sub-Finslerian geometry
Layth M. Alabdulsada, Laszlo Kozma
The sub-Finslerian geometry means that the metric is defined only on a given subbundle of the tangent bundle, called a horizontal bundle. In the paper, a version of the Hopf-Ri…
-metrics satisfying the -Condition or the -Condition
S. G. Elgendi, Laszlo Kozma
We describe the -metrics whose the -tensor vanishes (-condition) and the -metrics that satisfy the -condition , where $σ_h=\frac{\partial σ}…
On non-positive curvature properties of the Hilbert metric
Layth M. Alabdulsada, László Kozma
In this paper, we consider different types of non-positive curvature properties of the Hilbert metric of a convex domain in R^n. First, we survey the relationships among the concep…
Finsler connection for general Lagrangian systems
Laszlo Kozma, Takayoshi Ootsuka
We give a Finsler non-linear connection by a new simplified definition for not only regular case but also singular case. In regular case, it corresponds to non-linear connection pa…