Affine Ricci Solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups

TL;DR

This paper classifies affine Ricci solitons related to the Bott connection on three-dimensional Lorentzian Lie groups by computing their curvature and analyzing different distributions.

Contribution

It provides a classification of affine Ricci solitons associated with the Bott connection on three-dimensional Lorentzian Lie groups, including explicit curvature computations.

Findings

Classification of affine Ricci solitons on Lorentzian Lie groups

Explicit computation of Bott connection curvature

Analysis across different distributions

Abstract

In this paper, we compute the Bott connections and their curvature on three-dimensional Lorentzian Lie groups with three different distributions, and we classify affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups with three different distributions.