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Research Article | Open Access

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

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

Keywords

Pseudo-Riemannian metricalgebraic Schouten solitonsBott connectionLorentzian Lie groups

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Electronic Research Archive
Volume 33 Issue 1,
January 2025
Pages 327-352
DOI: 10.3934/era.2025017

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Jiang J. Algebraic Schouten solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups. Electronic Research Archive, 2025, 33(1): 327-352. https://doi.org/10.3934/era.2025017

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Received: 28 November 2024
Revised: 26 December 2024
Accepted: 02 January 2025
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)