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Holonomy of K-contact sub-Riemannian manifolds
Preprint
11 February 2025
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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.