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Generalized Kähler almost abelian Lie groups | | Anna Fino
; Fabio Paradiso
; | | Date: |
2 Aug 2020 | | Abstract: | We study left-invariant generalized Kähler structures on almost abelian Lie
groups, i.e. on solvable Lie groups with a codimension-one abelian normal
subgroup. In particular, we classify 6-dimensional almost abelian Lie groups
which admit a left-invariant complex structure and establish which of those
have a left-invariant Hermitian structure whose fundamental 2-form is $partial
overline partial$-closed. Moreover, we obtain a classification of
6-dimensional generalized Kähler almost abelian Lie groups and prove some
results in relation to the existence of holomorphic Poisson structures and to
the pluriclosed flow. | | Source: | arXiv, 2008.00458 | | Services: | Forum | Review | PDF | Favorites | |
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