Weak Almost Contact Structures: a Survey
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917799748698112 |
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| author | Rovenski, Vladimir |
| author_facet | Rovenski, Vladimir |
| contents | Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak, allowed us to take a new look at the theory of contact manifolds. The paper surveys recent results (concerning geodesic and Killing fields, rigidity and splitting theorems, Ricci-type solitons and Einstein-type metrics, etc.) in this new field of Riemannian geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13827 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Almost Contact Structures: a Survey Rovenski, Vladimir Differential Geometry Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak, allowed us to take a new look at the theory of contact manifolds. The paper surveys recent results (concerning geodesic and Killing fields, rigidity and splitting theorems, Ricci-type solitons and Einstein-type metrics, etc.) in this new field of Riemannian geometry. |
| title | Weak Almost Contact Structures: a Survey |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.13827 |