4 citations · 7 across the 6 of their papers we have counts for
9 papers
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…
A note on the distributions in quantum mechanical systems
Layth M. Alabdulsada
In this paper, we study the distributions and the affine distributions of the quantum mechanical system. Also, we discuss the controllability of the quantum mechanical system with…
Certain properties of contra-T*12-continuous functions
Hadi J. Mustafa, Layth M. Alabdulsada
The concept of contra function was introduced by Dontchev [2], in this work, we use the notion of T*12-open to study a new class of function called a contra-T*12-continuous functio…
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 -Open Sets
Layth M. Alabdulsada
The aim of this paper is to define and study -open sets and related properties. A -open set is, roughly speaking, a generalization of a -open set, whic…
On the class of weakly almost contra-T*-continuous functions
Layth M. Alabdulsada
The aim of this paper is to introduce and investigate a new class of functions called weakly almost contra--continuity which is defined as a function from an operator topologi…
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…