On left-invariant semi-K\'{a}hler structures on six-dimensional nilpotent nonsymplectic Lie groups
| Autor: | Smolentsev, N. K., Chernova, K. V. |
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| Rok vydání: | 2024 |
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| Zdroj: | Tomsk State University Journal of Mathematics and Mechanics, 2024 |
| Druh dokumentu: | Working Paper |
| Popis: | 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-K\"{a}hler and almost para-semi-K\"{a}hler structures are defined on such Lie groups and their geometric properties are studied. Comment: 13 pages. arXiv admin note: text overlap with arXiv:2408.13736 |
| Databáze: | arXiv |
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