Killing vectors and magnetic curves associated to Bott connection in Heisenberg group

被引：0
|
作者：
Liu, Haiming [1 ]
Hua, Yuefeng [1 ]
Chen, Xiawei [1 ]
Yang, Jinli [1 ]
机构：
[1] Mudanjiang Normal Univ, Sch Math Sci, Mudanjiang 157011, Peoples R China
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年 / 20卷 / 11期
基金：
黑龙江省自然科学基金;
关键词：
Heisenberg group; killing vector fields; killing magnetic curves; Bott connection; SURFACES; LORENTZIAN;
D O I：
10.1142/S0219887823501852
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we define the notion of Bott connection in the Heisenberg group (H3,g) and derive the expression of the Bott connection by using the Levi-Civita connection. Moreover, we derive the expressions of killing vector fields by using the killing equation and obtain some explicit formulas for killing magnetic curves associated to the Bott connection. Furthermore, we give some examples of killing magnetic curves.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Explicit formulas for Killing magnetic curves in three-dimensional Heisenberg group
    Derkaoui, Khadidja
    Hathout, Fouzi
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (09)
  • [2] Magnetic curves in the generalized Heisenberg group
    Munteanu, Marian Ioan
    Nistor, Ana Irina
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 214
  • [3] Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil3
    Druta-Romaniuc, S. L.
    Inoguchi, J.
    Munteanu, M. I.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (06)
  • [4] KILLING MAGNETIC FLUX SURFACES IN HEISENBERG THREE-GROUP *
    Dida, Mohamed H.
    Hathout, Fouzi
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (05): : 975 - 991
  • [5] Killing vectors and magnetic curves in Lorentzian α-Sasakian 3-manifolds
    Zhang, Han
    Liu, Haiming
    Chen, Xiawei
    MODERN PHYSICS LETTERS A, 2024, 39 (35-36)
  • [6] OPERATORS ASSOCIATED TO FLAT CURVES ON THE HEISENBERG-GROUP
    CARBERY, A
    WAINGER, S
    WRIGHT, J
    DUKE MATHEMATICAL JOURNAL, 1993, 72 (03) : 313 - 317
  • [7] Killing Magnetic Curves in Non-Flat Lorentzian-Heisenberg Spaces
    Altunbas, Murat
    FILOMAT, 2022, 36 (08) : 2645 - 2655
  • [8] Killing submersions and magnetic curves
    Inoguchi, Jun-ichi
    Munteanu, Marian Ioan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 520 (02)
  • [9] The Contact Metric Connection on the Heisenberg Group
    Pan'zhenskii, V. I.
    Klimova, T. R.
    RUSSIAN MATHEMATICS, 2018, 62 (11) : 45 - 52
  • [10] (Conformal) killing vectors and their associated bivectors
    Ludwig, G
    CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (14) : 3799 - 3808
12345