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- W4288045351 abstract "In this paper we investigate the existence of invariant SKT, balanced and generalized Kähler structures on compact quotients Γ﹨G, where G is an almost nilpotent Lie group whose nilradical has one-dimensional commutator and Γ is a lattice of G. We first obtain a characterization of Hermitian almost nilpotent Lie algebras g whose nilradical n has one-dimensional commutator and a classification result in real dimension six. Then, we study the ones admitting SKT and balanced structures and we examine the behaviour of such structures under flows. In particular, we construct new examples of compact SKT manifolds. Finally, we prove some non-existence results for generalized Kähler structures in real dimension six. In higher dimension we construct the first examples of non-split generalized Kähler structures (i.e., such that the associated complex structures do not commute) on almost abelian Lie algebras. This leads to new compact (non-Kähler) manifolds admitting non-split generalized Kähler structures." @default.
- W4288045351 created "2022-07-27" @default.
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- W4288045351 date "2022-11-01" @default.
- W4288045351 modified "2023-09-30" @default.
- W4288045351 title "Hermitian structures on a class of almost nilpotent solvmanifolds" @default.
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- W4288045351 doi "https://doi.org/10.1016/j.jalgebra.2022.07.016" @default.
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