Journal of Nonlinear Mathematical Physics

<Previous Article In Issue
Next Article In Issue>
Volume 22, Issue 3, June 2015, Pages 428 - 447

Magnetic curves in Sasakian manifolds

Authors
Simona Luiza Druţă-Romaniuc
Research Department, Faculty of Mathematics, ‘Alexandru Ioan Cuza’ University of Iasi, Bd. Carol I, no. 11, 700506 Iasi, Romania
Department of Mathematics and Informatics, ‘Gheorghe Asachi’ Technical University of Iasi, Bd. Carol I no. 11, 700506 Iasi, Romania.simona.romaniuc@tuiasi.ro
Jun-ichi Inoguchi
Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan
Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai Tsukuba, Ibaraki, 305-8571, Japan.inoguchi@math.tsukuba.ac.jp
Marian Ioan Munteanu
Faculty of Mathematics, ‘Alexandru Ioan Cuza’ University of Iasi, Bd. Carol I, no. 11, 700506 Iasi, Romania.marian.ioan.munteanu@gmail.com
Ana Irina Nistor
Faculty of Mathematics, ‘Alexandru Ioan Cuza’ University of Iasi, Bd. Carol I, no. 11, 700506 Iasi, Romania.
Department of Mathematics and Informatics, ‘Gheorghe Asachi’ Technical University of Iasi, Bd. Carol I no. 11, 700506 Iasi, Romania.ana.irina.nistor@gmail.com
Received 7 April 2015, Accepted 18 June 2015, Available Online 6 January 2021.
DOI
10.1080/14029251.2015.1079426How to use a DOI?
Keywords
contact magnetic field; magnetic curve; Sasakian manifold
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).

Copyright
© 2015 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
22 - 3
Pages
428 - 447
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2015.1079426How to use a DOI?
Copyright
© 2015 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Simona Luiza Druţă-Romaniuc
AU  - Jun-ichi Inoguchi
AU  - Marian Ioan Munteanu
AU  - Ana Irina Nistor
PY  - 2021
DA  - 2021/01/06
TI  - Magnetic curves in Sasakian manifolds
JO  - Journal of Nonlinear Mathematical Physics
SP  - 428
EP  - 447
VL  - 22
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2015.1079426
DO  - 10.1080/14029251.2015.1079426
ID  - Druţă-Romaniuc2021
ER  -