Killing vectors and magnetic curves associated to Bott connection in Heisenberg group

Abstract

In this paper, we define the notion of Bott connection in the Heisenberg group [Formula: see text] and derive the expression of the Bott connection by using the Levi-Civita connection. Moreover, we derive the expressions of killing vector fields by using the killing equation and obtain some explicit formulas for killing magnetic curves associated to the Bott connection. Furthermore, we give some examples of killing magnetic curves.