Perturbed Bott algebraic Schouten solitons on 3D Lorentzian Lie groups

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Abstract

In this paper, we defined and classified the algebraic Schouten solitons that are associated with the perturbed Bott connection on three-dimensional Lorentzian Lie groups possessing three distinct distributions. By transforming equations of perturbed Bott algebraic Schouten solitons into algebraic equations, we found that G₃,G₅,G₆, and G₇ have perturbed Bott algebraic Schouten solitons under the first distribution.G₃,G₆, and G₇ have such solitons under the second distribution. Additionally,G₂,G₃,G₄,G₅,G₆, and G₇ have such solitons under the third distribution.

Keywords

algebraic Schouten solitons / perturbed Bott connection / Lorentzian Lie groups

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