4-dimensional almost-Kähler Lie algebras of constant Hermitian holomorphic sectional curvature are Kähler

2017/09/26 by Mehdi Lejmi, Luigi Vezzoni, Lejmi, Mehdi +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53B35 #msc:53C55

paper · pdf · doi:10.48550/arxiv.1709.09139

10 pages

arxiv created 2017/09/26 · arxiv updated 2017/09/27

Abstract

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

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