caa a22 4500 606200630 CHVBK 20210128100944.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00025-014-0398-y doi (NATIONALLICENCE)springer-10.1007/s00025-014-0398-y Magnetic Trajectories in an Almost Contact Metric Manifold $${\mathbb{R}^{2N+1}}$$ R 2 N + 1 [Elektronische Daten] [Mohamed Jleli, Marian Munteanu, Ana Nistor] In this paper we classify magnetic trajectories γ in $${{\mathbb{R}}^{2N+1}}$$ R 2 N + 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 $${{\mathbb{R}}^5}$$ R 5 in $${\mathbb{R}^{2N+1}}$$ R 2 N + 1 such that γ lies in $${{\mathbb{R}}^5}$$ R 5 . Moreover, the quasi-Sasakian structure of $${{\mathbb{R}}^5}$$ R 5 is that induced from the ambient manifold. Springer Basel, 2014 Magnetic curve nationallicence helix nationallicence quasi-Sasakian manifold nationallicence codimension reduction nationallicence Jleli Mohamed Department of Mathematics, King Saud University, P.O. box 2455, 11451, Riyadh, Saudi Arabia aut Munteanu Marian Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I no.11, 700506, Iasi, Romania aut Nistor Ana Department of Mathematics and Informatics, Gheorghe Asachi Technical University of Iasi, Bd. Carol I no.11, 700506, Iasi, Romania aut Results in Mathematics Springer Basel 67/1-2(2015-02-01), 125-134 1422-6383 67:1-2<125 2015 67 25 https://doi.org/10.1007/s00025-014-0398-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-014-0398-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jleli Mohamed Department of Mathematics, King Saud University, P.O. box 2455, 11451, Riyadh, Saudi Arabia aut NATIONALLICENCE 700 1- Munteanu Marian Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I no.11, 700506, Iasi, Romania aut NATIONALLICENCE 700 1- Nistor Ana Department of Mathematics and Informatics, Gheorghe Asachi Technical University of Iasi, Bd. Carol I no.11, 700506, Iasi, Romania aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 67/1-2(2015-02-01), 125-134 1422-6383 67:1-2<125 2015 67 25