Hermitian geometry of Lie algebras with abelian ideals of codimension $2$

Yuqin Guo; Fangyang Zheng

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arXiv · 2212.04887

Hermitian geometry of Lie algebras with abelian ideals of codimension $2$

Yuqin Guo·Fangyang Zheng

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Abstract

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 K\"ahler-like and all Bismut torsion-parallel metrics on such Lie algebras.

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BibTeX RIS

Yuqin Guo, Fangyang Zheng. 2022-12-09. Hermitian geometry of Lie algebras with abelian ideals of codimension $2$. https://arxiv.org/abs/2212.04887

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