15 citations · 22 across the 9 of their papers we have counts for
6 papers · 1 filter
Characterization of projectively flat Finsler manifolds of constant curvature with finite dimensional holonomy group
Zoltan Muzsnay, Peter T. Nagy
In this paper we prove that the holonomy group of a simply connected locally projectively flat Finsler manifold of constant curvature is a finite dimensional Lie group if and only…
Tangent Lie algebras to the holonomy group of a Finsler manifold
Zoltan Muzsnay, Peter T. Nagy
Our goal in this paper is to make an attempt to find the largest Lie algebra of vector fields on the indicatrix such that all its elements are tangent to the holonomy group of a Fi…
Finsler 2-manifolds whose holonomy group is the diffeomorphism group of the circle
Zoltan Muzsnay, Peter T. Nagy
In this paper we show that the topological closure of the holonomy group of a certain class of projectively flat Finsler 2-manifolds of constant curvature is maximal, that is isomo…
Projectively flat Finsler manifolds with infinite dimensional holonomy
Zoltan Muzsnay, Peter T. Nagy
Recently, we developed a method for the study of holonomy properties of non-Riemannian Finsler manifolds and obtained that the holonomy group can not be a compact Lie group, if the…
Finsler spaces with infinite dimensional holonomy group
Zoltan Muzsnay, Peter T. Nagy
Our paper is devoted to the study of the holonomy groups of Finsler surfaces using the methods of infinite dimensional Lie theory. The notion of infinitesimal holonomy algebra will…
Finsler manifolds with non-Riemannian holonomy
Zoltan Muzsnay, Peter T. Nagy
The aim of this paper is to show that holonomy properties of Finsler manifolds can be very different from those of Riemannian manifolds. We prove that the holonomy group of a posit…