On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914935797186560 |
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| author | Smolentsev, N. K. Chernova, K. V. |
| author_facet | Smolentsev, N. K. Chernova, K. V. |
| contents | It is known that there are 34 classes of six-dimensional nilpotent Lie groups, many of which admit left-invariant symplectic and complex structures. Among them there are three classes of groups on which there are no left-invariant symplectic structures, but there are complex structures. In this work, semi-Kähler and almost para-semi-Kähler structures are defined on such Lie groups and their geometric properties are studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups Smolentsev, N. K. Chernova, K. V. Differential Geometry 53C15, 53C25, 53C50. 22E25 It is known that there are 34 classes of six-dimensional nilpotent Lie groups, many of which admit left-invariant symplectic and complex structures. Among them there are three classes of groups on which there are no left-invariant symplectic structures, but there are complex structures. In this work, semi-Kähler and almost para-semi-Kähler structures are defined on such Lie groups and their geometric properties are studied. |
| title | On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups |
| topic | Differential Geometry 53C15, 53C25, 53C50. 22E25 |
| url | https://arxiv.org/abs/2408.14733 |