Weak Nearly $\mathcal S$- and Weak Nearly $\mathcal C$- Manifolds
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908574135877632 |
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| author | Rovenski, Vladimir |
| author_facet | Rovenski, Vladimir |
| contents | The recent interest of geometers in the $f$-structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical physics. Weak metric $f$-structures on a smooth manifold, recently introduced by the author and R. Wolak, open a new perspective on the theory of classical structures. In the paper, we define structures of this kind, called weak nearly ${\cal S}$- and weak nearly ${\cal C}$- structures, study their geometry, e.g. their relations to Killing vector fields, and characterize weak nearly ${\cal S}$- and weak nearly ${\cal S}$- submanifolds in a weak nearly Kähler manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak Nearly $\mathcal S$- and Weak Nearly $\mathcal C$- Manifolds Rovenski, Vladimir Differential Geometry The recent interest of geometers in the $f$-structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical physics. Weak metric $f$-structures on a smooth manifold, recently introduced by the author and R. Wolak, open a new perspective on the theory of classical structures. In the paper, we define structures of this kind, called weak nearly ${\cal S}$- and weak nearly ${\cal C}$- structures, study their geometry, e.g. their relations to Killing vector fields, and characterize weak nearly ${\cal S}$- and weak nearly ${\cal S}$- submanifolds in a weak nearly Kähler manifold. |
| title | Weak Nearly $\mathcal S$- and Weak Nearly $\mathcal C$- Manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2508.17755 |