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Balanced Hermitian structures on twisted cartesian products
[Submitted on 20 Feb 2024 (v1), last revised 11 Jun 2026 (this v · 2026-06-15 · via math updates on arXiv.org

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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.

Submission history

From: Ahmed Oufkou [view email]
[v1] Tue, 20 Feb 2024 21:38:40 UTC (10 KB)
[v2] Thu, 11 Jun 2026 22:24:30 UTC (10 KB)

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