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Magnetic curves in Sasakian manifolds
Authors:Simona Luiza Dru??-Romaniuc  Jun-ichi Inoguchi  Marian Ioan Munteanu  Ana Irina Nistor
Institution:1. Research Department, Faculty of Mathematics, ‘Alexandru Ioan Cuza’ University of Iasi, Bd. Carol I, no. 11, 700506 Iasi, Romania;2. Department of Mathematics and Informatics, ‘Gheorghe Asachi’ Technical University of Iasi, Bd. Carol I no. 11, 700506 Iasi, Romania. simona.romaniuc@tuiasi.ro;3. Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan;4. Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai Tsukuba, Ibaraki, 305-8571, Japan. inoguchi@math.tsukuba.ac.jp;5. Faculty of Mathematics, ‘Alexandru Ioan Cuza’ University of Iasi, Bd. Carol I, no. 11, 700506 Iasi, Romania. marian.ioan.munteanu@gmail.com;6. Faculty of Mathematics, ‘Alexandru Ioan Cuza’ University of Iasi, Bd. Carol I, no. 11, 700506 Iasi, Romania. marian.ioan.munteanu@gmail.com;7. Department of Mathematics and Informatics, ‘Gheorghe Asachi’ Technical University of Iasi, Bd. Carol I no. 11, 700506 Iasi, Romania. ana.irina.nistor@gmail.com
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).
Keywords:contact magnetic field  magnetic curve  Sasakian manifold
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