Holonomy of K-contact sub-Riemannian manifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909771125227520 |
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| author | Galaev, Anton S. |
| author_facet | Galaev, Anton S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07543 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holonomy of K-contact sub-Riemannian manifolds Galaev, Anton S. Differential Geometry 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. |
| title | Holonomy of K-contact sub-Riemannian manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2502.07543 |