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

M. Lejmi; L. Vezzoni

doi:10.5802/jolt.1052

M. Lejmi; L. Vezzoni

Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 181-190

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.

arXiv Zbl

DOI: 10.5802/jolt.1052

Classification: 53C55, 53B35
Keywords: Almost-Kaehler structures, Lie algebras, spaces with constant curvature

@article{JOLT_2019_29_1_a6,
     author = {M. Lejmi and L. 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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M. Lejmi; L. 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

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