Geodesic
4-Dimensional Almost-Kaehler Lie Algebras of Constant Hermitian Holomorphic Sectional Curvature are Kaehler
Journal of Lie theory, Tome 29 (2019) no. 1, pp. 181-19
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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.
Classification : 53C55, 53B35
Mots-clés : Almost-Kaehler structures, Lie algebras, spaces with constant curvature 
@article{JLT_2019_29_1_JLT_2019_29_1_a6,
     author = {M. Lejmi and L. Vezzoni},
     title = {4-Dimensional {Almost-Kaehler} {Lie} {Algebras} of {Constant} {Hermitian} {Holomorphic} {Sectional} {Curvature} are {Kaehler}},
     journal = {Journal of Lie theory},
     pages = {181--19},
     year = {2019},
     volume = {29},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_1_JLT_2019_29_1_a6/}
}
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M. Lejmi; L. Vezzoni. 4-Dimensional Almost-Kaehler Lie Algebras of Constant Hermitian Holomorphic Sectional Curvature are Kaehler. Journal of Lie theory, Tome 29 (2019) no. 1, pp. 181-19. http://geodesic.mathdoc.fr/item/JLT_2019_29_1_JLT_2019_29_1_a6/