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Killing vectors and magnetic curves associated to Bott connection in Heisenberg group.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Sep2023, Vol. 20 Issue 11, p1-18. 18p. - Publication Year :
- 2023
-
Abstract
- In this paper, we define the notion of Bott connection in the Heisenberg group (ℍ 3 , 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VECTOR fields
Subjects
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 20
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 169811074
- Full Text :
- https://doi.org/10.1142/S0219887823501852