The study demonstrates that 4-dimensional almost-Kähler Lie algebras with constant curvature are Kähler, indicating a key relationship in geometry.
We prove that any 4-dimensional almost-Khler Lie algebra of constant Hermitian holomorphic sectional curvature with respect to the canonical Hermitian connection is Khler.
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Lejmi et al. (2019) studied this question.
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