Locally conformally Kähler structures on four-dimensional solvable Lie algebras
We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpret...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
De Gruyter
2019
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| Subjects: | |
| Online Access: | https://doaj.org/article/4acd3a9a9ba24ea58009cf441fac80a1 |
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| Summary: | We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the 4-dimensional structures in our classification. |
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