%0 Journal Article
%T Projectively flat Finsler manifolds with infinite dimensional holonomy
%A Zoltan Muzsnay
%A Peter T. Nagy
%J Mathematics
%D 2012
%I arXiv
%X 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 manifold of dimension $> 2$ has non-zero constant flag curvature. The purpose of this paper is to move further, exploring the holonomy properties of projectively flat Finsler manifolds of non-zero constant flag curvature. We prove in particular that projectively flat Randers and Bryant-Shen manifolds of non-zero constant flag curvature have infinite dimensional holonomy group.
%U http://arxiv.org/abs/1202.0982v1