On left-invariant semi-K\"{a}hler structures on six-dimensional nilpotent nonsymplectic Lie groups
Differential Geometry
2024-09-05 v2
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-K\"{a}hler and almost para-semi-K\"{a}hler structures are defined on such Lie groups and their geometric properties are studied.
Keywords
Cite
@article{arxiv.2408.14733,
title = {On left-invariant semi-K\"{a}hler structures on six-dimensional nilpotent nonsymplectic Lie groups},
author = {N. K. Smolentsev and K. V. Chernova},
journal= {arXiv preprint arXiv:2408.14733},
year = {2024}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:2408.13736