Hermitian geometry of Lie algebras with abelian ideals of codimension 2

We examine Hermitian metrics on unimodular Lie algebras which contains a J -invariant abelian ideal of codimension two, and give a classification for all Bismut Kähler-like and all Bismut torsion-parallel metrics on such Lie algebras.

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Published in:Mathematische Zeitschrift 2023-07, Vol.304 (3), Article 51
Main Authors: Guo, Yuqin, Zheng, Fangyang
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Language:English
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Algebra
Lie groups
Mathematics
Mathematics and Statistics
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description We examine Hermitian metrics on unimodular Lie algebras which contains a J -invariant abelian ideal of codimension two, and give a classification for all Bismut Kähler-like and all Bismut torsion-parallel metrics on such Lie algebras.
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subjects Algebra
Lie groups
Mathematics
Mathematics and Statistics
title Hermitian geometry of Lie algebras with abelian ideals of codimension 2
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