Invariant Ricci collineations associated to the Bott connections on three-dimensional Lorentzian Lie groups

TL;DR

This paper classifies all left-invariant Ricci collineations related to Bott 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 Bott connections on three-dimensional Lorentzian Lie groups, a novel contribution in Lorentzian geometry.

Findings

All such Ricci collineations are explicitly determined.

The classification reveals specific symmetry structures.

Results contribute to geometric analysis of Lorentzian Lie groups.

Abstract

In this paper, we determine all left-invariant Ricci collineations associated to the Bott connection with three distributions on three-dimensional Lorentzian Lie groups . he author was supported in part by NSFC No.11771070.