Algebraic Schouten solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups

Jinguo Jiang; Jinguo Jiang

doi:10.3934/era.2025017

Electronic Research Archive

2025, Volume 33, Issue 1: 327-352. doi: 10.3934/era.2025017

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Research article

Algebraic Schouten solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups

Jinguo Jiang ^,

School of Mathematical science, Nankai University, Tianjin 300071, China

Received: 28 November 2024 Revised: 26 December 2024 Accepted: 02 January 2025 Published: 23 January 2025

In this paper, I define and classify the algebraic Schouten solitons associated with the Bott connection on three-dimensional Lorentzian Lie groups with three different distributions.
- Pseudo-Riemannian metric,
- algebraic Schouten solitons,
- Bott connection,
- Lorentzian Lie groups
Citation: Jinguo Jiang. Algebraic Schouten solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups[J]. Electronic Research Archive, 2025, 33(1): 327-352. doi: 10.3934/era.2025017

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Abstract

In this paper, I define and classify the algebraic Schouten solitons associated with the Bott connection on three-dimensional Lorentzian Lie groups with three different distributions.

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