Magnetic curves in the generalized Heisenberg group. (January 2022)

• Record Type: Journal Article
• Authors: Munteanu, Marian Ioan; Nistor, Ana Irina
• Is Part Of: Nonlinear analysis. Volume 214(2022)
• Publication Date: 2022-01
• Subjects: 53B21 -- 53C15 -- 53C25 -- 53C80; Generalized Heisenberg group -- Quasi-Sasakian manifold -- Magnetic curve -- Slant curve -- Helix; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112571
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study the magnetic trajectories in the generalized Heisenberg group H ( n, 1 ) of dimension ( 2 n + 1 ) endowed with its quasi-Sasakian structure. We prove that the trajectories are Frenet curves of maximum order 5 and we completely classify them.