Classification of Algebraic Schouten Solitons on Lorentzian Lie Groups Associated with the Perturbed Canonical Connection and the Perturbed Kobayashi-Nomizu Connection

被引：0
|
作者：
Jiang, Jinguo [1 ]
Yang, Yanni [1 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
SYMMETRY-BASEL | 2025年 / 17卷 / 01期
关键词：
pseudo-Riemannian metric; algebraic Schouten solitons; Lorentzian Lie groups; RICCI SOLITONS;
D O I：
10.3390/sym17010010
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we investigate the algebraic conditions of algebraic Schouten solitons on three-dimensional Lorentzian Lie groups associated with the perturbed canonical connection and the perturbed Kobayashi-Nomizu connection. Furthermore, we provide the complete classification for these algebraic Schouten solitons on three-dimensional Lorentzian Lie groups associated with the algebraic Schouten solitons. The main results indicate that G4 does not possess algebraic Schouten solitons related to the perturbed Kobayashi-Nomizu connection, G1,G2,G3,G6, and G7 possess algebraic Schouten solitons, and the result for G5 is trivial.
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页数：19
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