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Magnetic curves in Sasakian manifolds

Authors :
Jun-ichi Inoguchi
Simona-Luiza Druţă-Romaniuc
Ana Irina Nistor
Marian Ioan Munteanu
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).

Details

ISSN :
17760852
Volume :
22
Database :
OpenAIRE
Journal :
Journal of Nonlinear Mathematical Physics
Accession number :
edsair.doi...........54358df34129570eda13873f2646cc81