Four-dimensional homogeneous semi-symmetric Lorentzian manifolds

TL;DR

This paper classifies all four-dimensional homogeneous semi-symmetric Lorentzian manifolds by providing a complete description of their algebraic curvature tensors.

Contribution

It offers a comprehensive classification of semi-symmetric algebraic curvature tensors and identifies all such four-dimensional homogeneous Lorentzian manifolds.

Findings

Complete description of semi-symmetric algebraic curvature tensors in 4D Lorentzian spaces

Full classification of 4D homogeneous semi-symmetric Lorentzian manifolds

Identification of all such manifolds in four dimensions

Abstract

We give a complete description of semi-symmetric algebraic curvature tensors on a four-dimensional Lorentzian vector space and we use this description to determine all four-dimensional homogeneous semi-symmetric Lorentzian manifolds.