Journal of Lie Theory 33 (2023), No. 3, 763--781
Copyright Heldermann Verlag 2023
On Homogeneous Hermite-Lorentz Spaces of Low Dimension
Fatma Kadi
Faculty of Exact Sciences, University of El Oued, Algeria
kadi-fatma@univ-eloued.dz
Mohammed Guediri
Dept. of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia
mguediri@ksu.edu.sa
Abdelghani Zeghib
UMPA, CNRS, Ecole Normale Superieure, Lyon, France
abdelghani.zeghib@ens-lyon.fr
We classify irreducible homogeneous almost Hermite-Lorentz spaces of complex dimension 3, and prove in particular they are geodesically complete.
Keywords: Almost Hermitian manifolds, Kaehler manifolds, Hermite-Lorentz spaces.
MSC: 53C50, 53C55
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