$4$-dimensional almost-K\"ahler Lie algebras of constant Hermitian holomorphic sectional curvature are K\"ahler

Luigi Vezzoni; Mehdi Lejmi

arxiv: 1709.09139 · v1 · pith:7URIDG52new · submitted 2017-09-26 · 🧮 math.DG

4-dimensional almost-K\"ahler Lie algebras of constant Hermitian holomorphic sectional curvature are K\"ahler

Mehdi Lejmi , Luigi Vezzoni This is my paper

classification 🧮 math.DG

keywords ahlerhermitianalmost-kconstantcurvaturedimensionalholomorphicsectional

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We prove that any $4$-dimensional almost-K\"ahler Lie algebra of constant Hermitian holomorphic sectional curvature with respect to the canonical Hermitian connection is K\"ahler.

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4-dimensional almost-K\"ahler Lie algebras of constant Hermitian holomorphic sectional curvature are K\"ahler

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