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Journal of Lie Theory 29 (2019), No. 1, 181--190
Copyright Heldermann Verlag 2019

4-Dimensional Almost-Kähler Lie Algebras of Constant Hermitian Holomorphic Sectional Curvature are Kähler

Mehdi Lejmi
Dept. of Mathematics, Bronx Community College, City University of New York, Bronx, NY 10453, U.S.A.

Luigi Vezzoni
Dip. di Matematica G. Peano, Universit\`a di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

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.

Keywords: Almost-Kaehler structures, Lie algebras, spaces with constant curvature.

MSC: 53C55, 53B35

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