System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours. For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
Research ArticleNo Access
Explicit formulas for Killing magnetic curves in three-dimensional Heisenberg group
In this paper, we present the geometry of three-dimensional Heisenberg group (ℍ3,g) and its geodesics curves. After studying the Killing magnetic curves and some geodesic Killing magnetic curves, we give the explicit formulas for such curves.
5. L. Capogna, D. Danielli, S. D. Pauls and J. T. Tyson , An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, Progress in Mathematics (Birkhäuser Verlag, Basel, 2007). Google Scholar
6. S. L. Drută-Romaniuc, J. Inoguchi, M. I. Munteanu and A. I. Nistor , Magnetic curves in cosymplectic manifolds, Rep. Math. Phys.78 (2016) 33. Crossref, Web of Science, Google Scholar
7. S. L. Drută-Romaniuc, J. Inoguchi, M. I. Munteanu and A. I. Nistor , Magnetic curves in Sasakian manifolds, J. Nonlinear Math. Phys.22 (2015) 428. Crossref, Web of Science, Google Scholar
8. S. L. Drută-Romaniuc and M. I. Munteanu , Killing magnetic curves in a Minkowski 3-space, Nonlinear Anal. Real World Appl.14 (2013) 383. Crossref, Web of Science, Google Scholar
9. S. L. Drută-Romaniuc and M. I. Munteanu , Magnetic curves corresponding to killing magnetic fields in 𝔼3, J. Math. Phys.52 (2011) 113506. Crossref, Web of Science, Google Scholar
18. C. Özgür , On magnetic curves in 3-dimensional Heisenberg group, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerbaijan43(2) (2017) 278–286. Web of Science, Google Scholar