Left-invariant Ricci collineations associated to canonical connections on three-dimensional Lorentzian Lie groups

TL;DR

This paper classifies left-invariant Ricci collineations related to canonical and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups, advancing understanding of geometric symmetries in Lorentzian geometry.

Contribution

It provides a complete classification of Ricci collineations for specific connections on three-dimensional Lorentzian Lie groups, a novel contribution in Lorentzian geometry.

Findings

Classification of Ricci collineations for canonical connections

Classification of Ricci collineations for Kobayashi-Nomizu connections

Enhanced understanding of geometric symmetries in Lorentzian Lie groups

Abstract

In this paper, we classify Left-invariant Ricci collineations associated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups.