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- W2953313596 abstract "Let $mathfrak{g}$ be a $2n$-dimensional unimodular Lie algebra equipped with a Hermitian structure $(J,F)$ such that the complex structure $J$ is abelian and the fundamental form $F$ is balanced. We prove that the holonomy group of the associated Bismut connection reduces to a subgroup of $SU(n-k)$, being $2k$ the dimension of the center of $mathfrak{g}$. We determine conditions that allow a unimodular Lie algebra to admit this particular type of structures. Moreover, we give methods to construct them in arbitrary dimensions and classify them if the Lie algebra is 8-dimensional and nilpotent." @default.
- W2953313596 created "2019-06-27" @default.
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- W2953313596 date "2014-12-22" @default.
- W2953313596 modified "2023-10-01" @default.
- W2953313596 title "Abelian Balanced Hermitian structures on unimodular Lie algebras" @default.
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