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arXiv · 2408.14733

On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups

N. K. Smolentsev·K. V. Chernova
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Abstract

It is known that there are 34 classes of six-dimensional nilpotent Lie groups, many of which admit left-invariant symplectic and complex structures. Among them there are three classes of groups on which there are no left-invariant symplectic structures, but there are complex structures. In this work, semi-Kähler and almost para-semi-Kähler structures are defined on such Lie groups and their geometric properties are studied.

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N. K. Smolentsev, K. V. Chernova. 2024-09-04. On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups. https://arxiv.org/abs/2408.14733

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