Balanced Hermitian structures on twisted cartesian products
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 ba...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
20.02.2024
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Subjects | |
Online Access | Get full text |
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Summary: | 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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DOI: | 10.48550/arxiv.2402.13390 |