Affine Ricci solitons of three-dimensional Lorentzian Lie groups
Yong Wang
TL;DR
This paper classifies affine Ricci solitons on three-dimensional Lorentzian Lie groups, focusing on various connections and their perturbations, contributing to the understanding of geometric structures in Lorentzian geometry.
Contribution
It provides a comprehensive classification of affine Ricci solitons related to multiple connections on three-dimensional Lorentzian Lie groups with product structures.
Findings
Classification results for affine Ricci solitons on Lorentzian Lie groups
Analysis of canonical and Kobayashi-Nomizu connections and their perturbations
Insights into geometric structures of Lorentzian Lie groups
Abstract
In this paper, we classify affine Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections and perturbed canonical connections and perturbed Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some product structure.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research