Classification of abelian complex structures on 6-dimensional Lie algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2009
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| _version_ | 1866910544916643840 |
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| author | Andrada, A. Barberis, M. L. Dotti, I. G. |
| author_facet | Andrada, A. Barberis, M. L. Dotti, I. G. |
| contents | We classify the 6-dimensional Lie algebras that can be endowed with an abelian complex structure and parameterize, on each of these algebras, the space of such structures up to holomorphic isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0908_3213 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Classification of abelian complex structures on 6-dimensional Lie algebras Andrada, A. Barberis, M. L. Dotti, I. G. Rings and Algebras Differential Geometry 17B30, 53C15 We classify the 6-dimensional Lie algebras that can be endowed with an abelian complex structure and parameterize, on each of these algebras, the space of such structures up to holomorphic isomorphism. |
| title | Classification of abelian complex structures on 6-dimensional Lie algebras |
| topic | Rings and Algebras Differential Geometry 17B30, 53C15 |
| url | https://arxiv.org/abs/0908.3213 |