The holonomy group of a locally symmetric space
Differential Geometry
2026-01-13 v1 Algebraic Geometry
Abstract
We show that the holonomy group of a connected Riemannian locally symmetric space (not necessarily complete) without local flat factor is compact and has finite index in its normalizer in the orthogonal group.
Cite
@article{arxiv.2601.07541,
title = {The holonomy group of a locally symmetric space},
author = {Antonio J. Di Scala},
journal= {arXiv preprint arXiv:2601.07541},
year = {2026}
}