Characterization of Sasakian manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913186798632960 |
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| author | Rovenski, Vladimir |
| author_facet | Rovenski, Vladimir |
| contents | Weak contact metric 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. In this paper, we continue our study, see arXiv:2312.11411, of a structure of this type, called a weak nearly Sasakian structure, and prove two theorems characterizing Sasakian manifolds. Our main result generalizes the theorem by A. Nicola - G. Dileo - I. Yudin (2018) and provides a new criterion for a weak almost contact metric manifold to be Sasakian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02752 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of Sasakian manifolds Rovenski, Vladimir Differential Geometry Weak contact metric 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. In this paper, we continue our study, see arXiv:2312.11411, of a structure of this type, called a weak nearly Sasakian structure, and prove two theorems characterizing Sasakian manifolds. Our main result generalizes the theorem by A. Nicola - G. Dileo - I. Yudin (2018) and provides a new criterion for a weak almost contact metric manifold to be Sasakian. |
| title | Characterization of Sasakian manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.02752 |