The holonomy group of a locally symmetric space

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Antonio J. Di Scala
DOI: 10.48550/arxiv.2601.07541
Cited by: 0

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.

Fields of Study & Subjects

Advanced Algebra and Geometry Advanced Differential Geometry Research Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
12 January 2026
Document type
Preprint