Almost all Finsler metrics have infinite dimensional holonomy group
Differential Geometry
2021-06-08 v2
Abstract
We show that the set of Finsler metrics on a manifold contains an open everywhere dense subset of Finsler metrics with infinite-dimensional holonomy groups.
Cite
@article{arxiv.2007.12396,
title = {Almost all Finsler metrics have infinite dimensional holonomy group},
author = {Balazs Hubicska and Vladimir S. Matveev and Zoltan Muzsnay},
journal= {arXiv preprint arXiv:2007.12396},
year = {2021}
}
Comments
to appear in The Journal of Geometric Analysis