J. Korean Math. Soc. 2021; 58(6): 1501-1511
Online first article August 31, 2021 Printed November 1, 2021
https://doi.org/10.4134/JKMS.j210147
Copyright © The Korean Mathematical Society.
Zlatko Erjavec, Jun-ichi Inoguchi
Pavlinska 2, HR-42000, Vara{\v z}din; 1-1-1 Tennodai, Tsukuba 305-8571
In this paper we study magnetic trajectories on $\mathbb{H}^3\times\mathbb{R}$ with respect to the strictly almost K{\"a}hler structure. We find three types of magnetic curves which correspond to the almost complex structure compatible to the product metric on $\mathbb{H}^3\times\mathbb{R}.$
Keywords: Magnetic curve, $\mathbb{H}^3\times\mathbb{R}$, almost K{\"a}hler structure
MSC numbers: Primary 53C15, 53C30, 53C55, 53C80
Supported by: The second named author is partially supported by JSPS KAKENHI Grant Number 19K03461.
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