Holonomy of K-contact sub-Riemannian manifolds
Differential Geometry
2025-09-08 v2
Abstract
It is shown that the horizontal holonomy group of a K-contact sub-Riemannian manifold either coincides with the holonomy group of a Riemannian manifold, or it is a codimension-one normal subgroup of the later group. The question of existence of parallel horizontal spinors, examples, and consequences are discussed.
Cite
@article{arxiv.2502.07543,
title = {Holonomy of K-contact sub-Riemannian manifolds},
author = {Anton S. Galaev},
journal= {arXiv preprint arXiv:2502.07543},
year = {2025}
}
Comments
15 pages; the final version accepted for publication in Annali di Matematica Pura ed Applicata (1923 -)