On homogeneous Hermite-Lorentz spaces

Ali Ben-Ahmed (1) , Abdelghani Zeghib (2)

1 Département de mathématiques [Tunis]
2 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We define naturally Hermite-Lorentz metrics on almost-complex manifolds as special case of pseudo-Riemannian metrics compatible with the almost complex structure. We study their isometry groups.

Domaines: Géométrie différentielle [math.DG]

Ali Ben-Ahmed, Abdelghani Zeghib. On homogeneous Hermite-Lorentz spaces. Asian Journal of Mathematics, 2016, 20 (3), pp.531-554. ⟨hal-00601552v3⟩