Sign in
Back
Magnetic Trajectories in an Almost Contact Metric Manifold R2N+1
Journal article   Peer reviewed

Magnetic Trajectories in an Almost Contact Metric Manifold R2N+1

Mohamed Jleli, Marian Ioan Munteanu and Ana Irina Nistor
Resultate der Mathematik, Vol.67(1-2), pp.125-134
01/02/2015
DOI: https://doi.org/10.1007/s00025-014-0398-y

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we classify magnetic trajectories gamma in R2N+1 endowed with a canonical quasi-Sasakian structure, corresponding to a magnetic field proportional to the fundamental 2-form. We prove that they are helices of order 5 and we show that there exists a totally geodesic R-5 in R2N+1 such that gamma lies in R-5. Moreover, the quasi-Sasakian structure of R-5 is that induced from the ambient manifold.

Metrics

1 Record Views

Details