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.
mehdi.lejmi@bcc.cuny.edu
Luigi Vezzoni
Dip. di Matematica G. Peano, Universit\`a di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
luigi.vezzoni@unito.it
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
[ Fulltext-pdf (102 KB)] for subscribers only.