Balanced Hermitian structures on twisted cartesian products

Fuente: arXiv
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Autores principales: Mansouri, M. W., Oufkou, A.
Formato: Preprint
Publicado: 2024
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author Mansouri, M. W.
Oufkou, A.
author_facet Mansouri, M. W.
Oufkou, A.
contents We study Hermitian structures on twisted cartesian products $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ of two Hermitian Lie algebras according to two representations $ρ_{1}$ and $ρ_{2}$. We give the conditions on $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ to be balanced and locally conformally balanced. As an application we classify six-dimensional balanced Hermitian twisted cartesian products Lie algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2402_13390
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Balanced Hermitian structures on twisted cartesian products
Mansouri, M. W.
Oufkou, A.
Algebraic Geometry
We study Hermitian structures on twisted cartesian products $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ of two Hermitian Lie algebras according to two representations $ρ_{1}$ and $ρ_{2}$. We give the conditions on $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ to be balanced and locally conformally balanced. As an application we classify six-dimensional balanced Hermitian twisted cartesian products Lie algebras.
title Balanced Hermitian structures on twisted cartesian products
topic Algebraic Geometry
url https://arxiv.org/abs/2402.13390