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

被引：0
|
作者：
Jiang, Jinguo [1 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2025年 / 33卷 / 01期
关键词：
Pseudo-Riemannian metric; algebraic Schouten solitons; Bott connection; Lorentzian Lie groups; RICCI SOLITONS; CURVATURE;
D O I：
10.3934/era.2025017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：327 / 352
页数：26
相关论文
共 50 条
  • [41] Isometry groups of three-dimensional Lie groups
    Ana Cosgaya
    Silvio Reggiani
    Annals of Global Analysis and Geometry, 2022, 61 : 831 - 845
  • [42] Einstein-Like Metrics on Three-Dimensional Non-unimodular Lorentzian Lie Groups
    Calvaruso, Giovanni
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (02)
  • [43] Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
    Vahid Pirhadi
    Ghodratallah Fasihi-Ramandi
    Shahroud Azami
    Journal of Nonlinear Mathematical Physics, 2023, 30 : 1409 - 1423
  • [44] Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
    Pirhadi, Vahid
    Fasihi-Ramandi, Ghodratallah
    Azami, Shahroud
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (04) : 1409 - 1423
  • [45] Einstein-Like Metrics on Three-Dimensional Non-unimodular Lorentzian Lie Groups
    Giovanni Calvaruso
    Bulletin of the Iranian Mathematical Society, 2023, 49
  • [46] Surfaces in three-dimensional Lie groups
    Berdinsky, DA
    Taimanov, IA
    SIBERIAN MATHEMATICAL JOURNAL, 2005, 46 (06) : 1005 - 1019
  • [47] Surfaces in Three-Dimensional Lie Groups
    D. A. Berdinsky
    I. A. Taimanov
    Siberian Mathematical Journal, 2005, 46 : 1005 - 1019
  • [48] THREE-DIMENSIONAL LORENTZIAN PARA-KENMOTSU MANIFOLDS AND YAMABE SOLITONS
    Pankaj
    Chaubey, Sudhakar K.
    Prasad, Rajendra
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (04): : 613 - 626
  • [49] The Bjorling problem for minimal surfaces in a Lorentzian three-dimensional Lie group
    Cintra, Adriana A.
    Mercuri, Francesco
    Onnis, Irene I.
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2016, 195 (01) : 95 - 110
  • [50] Control Systems on Three-Dimensional Lie Groups
    Biggs, Rory
    Remsing, Claudiu C.
    2014 EUROPEAN CONTROL CONFERENCE (ECC), 2014, : 2442 - 2447
12345