Journal of Lie Theory

no. 1
4-Dimensional Almost-Kähler Lie Algebras of Constant Hermitian Holomorphic Sectional Curvature are Kähler
Mehdi Lejmi1; Luigi Vezzoni2
1Dept. of Mathematics, Bronx Community College, City University of New York, Bronx, NY 10453, U.S.A.
2Dip. di Matematica G. Peano, Universit\`a di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 181-190
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.
DOI: 10.5802/jolt.1052
Classification: 53C55, 53B35
Keywords: Almost-Kaehler structures, Lie algebras, spaces with constant curvature

Mehdi Lejmi  1 ; Luigi Vezzoni  2

1 Dept. of Mathematics, Bronx Community College, City University of New York, Bronx, NY 10453, U.S.A.
2 Dip. di Matematica G. Peano, Universit\`a di Torino, Via Carlo Alberto 10, 10123 Torino, Italy 
Mehdi Lejmi; Luigi Vezzoni. 4-Dimensional Almost-Kähler Lie Algebras of Constant Hermitian Holomorphic Sectional Curvature are Kähler. Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 181-190. doi: 10.5802/jolt.1052
@article{JOLT_2019_29_1_a6,
     author = {Mehdi Lejmi and Luigi Vezzoni},
     title = {4-Dimensional {Almost-K\"ahler} {Lie} {Algebras} of {Constant} {Hermitian} {Holomorphic} {Sectional} {Curvature} are {K\"ahler}},
     journal = {Journal of Lie Theory},
     pages = {181--190},
     year = {2019},
     volume = {29},
     number = {1},
     doi = {10.5802/jolt.1052},
     zbl = {1412.53103},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1052/}
}
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