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Magnetic curves in Sasakian manifolds
- Source :
- Journal of Nonlinear Mathematical Physics. 22:428
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- In this paper we classify the magnetic trajectories corresponding to contact magnetic fields in Sasakian manifolds of arbitrary dimension. Moreover, when the ambient is a Sasakian space form, we prove that the codimension of the curve may be reduced to 2. This means that the magnetic curve lies on a 3-dimensional Sasakian space form, embedded as a totally geodesic submanifold of the Sasakian space form of dimension (2n+1).
- Subjects :
- 010102 general mathematics
Mathematical analysis
Space form
Statistical and Nonlinear Physics
Codimension
Submanifold
01 natural sciences
Magnetic field
Sasakian manifold
Dimension (vector space)
0103 physical sciences
Totally geodesic
Mathematics::Differential Geometry
010307 mathematical physics
0101 mathematics
Mathematics::Symplectic Geometry
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 17760852
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- Journal of Nonlinear Mathematical Physics
- Accession number :
- edsair.doi...........54358df34129570eda13873f2646cc81