Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups

DOI10.1007/S11401-022-0334-5zbMath1506.53028arXiv2001.11656OpenAlexW4312946433WikidataQ115379230 ScholiaQ115379230MaRDI QIDQ2094310

Yanyan Li

Publication date: 28 October 2022

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11656

zbMATH Keywords

algebraic Ricci solitonscanonical connectionsKobayashi-Nomizu connectionsthree-dimensional Lorentzian Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Structure and representation of the Lorentz group (22E43) Connections (general theory) (53C05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Affine generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated to Yano connection ⋮ Gauss-Bonnet theorems for Lorentzian and spacelike surfaces associated to canonical connections in the Lorentzian Heisenberg group ⋮ Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-nomizu connections

Cites Work

• Examples of algebraic Ricci solitons in the pseudo-Riemannian case
• Algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
• Homogeneous structures on three-dimensional Lorentzian manifolds
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• Distinguished connections on $(J^{2}=\pm 1)$-metric manifolds
• Ricci soliton homogeneous nilmanifolds
• Unnamed Item

This page was built for publication: Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups