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arXiv · 2402.13390

Balanced Hermitian structures on twisted cartesian products

M. W. Mansouri·A. Oufkou
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Abstract

We study Hermitian structures on twisted cartesian products $(\mathfrak{g}_{(\rho_{1},\rho_{2})},\mathrm{J},\cal{K})$ of two Hermitian Lie algebras according to two representations $\rho_{1}$ and $\rho_{2}$. We give the conditions on $(\mathfrak{g}_{(\rho_{1},\rho_{2})},\mathrm{J},\cal{K})$ to be balanced and locally conformally balanced. As an application we classify six-dimensional balanced Hermitian twisted cartesian products Lie algebras.

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M. W. Mansouri, A. Oufkou. 2024-02-20. Balanced Hermitian structures on twisted cartesian products. https://arxiv.org/abs/2402.13390

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