4 citations · 7 across the 6 of their papers we have counts for
5 papers · 1 filter
Sub-Randers metrics
Layth M. Alabdulsada
We introduce a new class of sub-Finsler metrics, called sub-Randers metrics, obtained by adding a one-form to a sub-Riemannian metric on a bracket-gener…
Sub-Finsler geometry and nonholonomic mechanics
Layth M. Alabdulsada
We discuss a variational approach to the length functional and its relation to sub-Hamiltonian equations on sub-Finsler manifolds. Then, we introduce the notion of the nonholonomic…
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…
On the divergence representation of the Gauss curvature of Riemannian surfaces and its applications
Cs. Vincze, M. Oláh, L. M. Alabdulsada
In the paper we consider Riemannian surfaces admitting a global expression of the Gauss curvature as the divergence of a vector field. It is equivalent to the existence of a metric…
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…