15 citations · 22 across the 9 of their papers we have counts for
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math.DG2012★ 5 cited
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…
math.DG2012★ 1 cited
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…
math.DG2012
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…