Explicit formulas for Killing magnetic curves in Heisenberg group
Khadidja Derkaoui, Fouzi Hathout
TL;DR
This paper derives explicit formulas for Killing magnetic curves in the three-dimensional Heisenberg group, enhancing understanding of their geometric properties and specific geodesic cases.
Contribution
It provides explicit formulas for Killing magnetic curves and some geodesic Killing magnetic curves in the Heisenberg group, a novel contribution to geometric analysis.
Findings
Explicit formulas for Killing magnetic curves in H_3
Identification of geodesic Killing magnetic curves
Enhanced understanding of magnetic curves in Heisenberg geometry
Abstract
In this paper, We present the geometry three dimensional Heisenberg group (H_3,g) and its geodesics curves. After, we study the Killing magnetic curves and some geodesic Killing magnetic curves with its explicit formulas for such curves.
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