On homogeneous Hermite-Lorentz spaces of low dimension

TL;DR

This paper classifies certain low-dimensional homogeneous spaces equipped with a Hermite-Lorentz structure, advancing understanding of their geometric properties and classifications.

Contribution

It provides a classification of irreducible homogeneous almost Hermite-Lorentz spaces specifically in complex dimension 3, a previously unexplored case.

Findings

Complete classification of these spaces in complex dimension 3

Identification of geometric structures unique to low-dimensional cases

Extension of Hermite-Lorentz space theory to new settings

Abstract

We classify irreducible homogeneous almost Hermite-Lorentz spaces of complex dimension 3.