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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16506 |
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| _version_ | 1866929432785059840 |
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| author | Boucetta, Mohamed |
| author_facet | Boucetta, Mohamed |
| contents | Kenmotsu manifolds constitute an important subclass of the class of contact Riemannian manifolds. In this note, we determine entirely connected and simply-connected Lie groups having a left invariant Kenmotsu structure. We show also that these Lie groups are Einstein Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kenmotsu LIe groups Boucetta, Mohamed Differential Geometry 53C25, 22E25 Kenmotsu manifolds constitute an important subclass of the class of contact Riemannian manifolds. In this note, we determine entirely connected and simply-connected Lie groups having a left invariant Kenmotsu structure. We show also that these Lie groups are Einstein Riemannian manifolds. |
| title | Kenmotsu LIe groups |
| topic | Differential Geometry 53C25, 22E25 |
| url | https://arxiv.org/abs/2407.16506 |