25 citations · 109 across the 21 of their papers we have counts for
25 papers
Natural parallel translation and connection associated to navigation data
Asma Mezrag, Zoltan Muzsnay, Csaba Vincze
In this paper, we consider the geometric setting of navigation data and introduce a natural parallel translation using the Riemannian parallelism. The geometry obtained in this way…
The geometry of geodesic invariant functions and applications to Landsberg surfaces
Salah G. Elgendi, Zoltan Muzsnay
In this paper, for a given spray on an -dimensional manifold , we investigate the geometry of -invariant functions. For an -invariant function , we associate a v…
Metrizability of holonomy invariant projective deformation of sprays
Salah G. Elgendi, Zoltan Muzsnay
In this paper, we consider projective deformation of the geodesic system of Finsler spaces by holonomy invariant functions: Starting by a Finsler spray and a holonomy invariant…
The Lie symmetry group of the general Lienard-type equation
Ágota Figula, Gábor Horváth, Tamás Milkovszki +1
We consider the general Lienard-type equation for . This equation naturally admits the Lie symmetry .…
The holonomy group of projectively flat Randers two-manifolds of constant curvature
Balazs Hubicska, Zoltan Muzsnay
In this paper, we investigate the holonomy structure of the most accessible and demonstrative 2-dimensional Finsler surfaces, the Randers surfaces. Randers metrics can be considere…
Tangent Lie algebra of a diffeomorphism group and application to holonomy theory
Balazs Hubicska, Zoltan Muzsnay
In this paper we introduce the notion of tangent space TG of a (not necessary smooth) subgroup G of the diffeomorphism group Diff(M) of a compact manifold M. We prove that TG is a…