Affiliation:
1. School of Mathematical Science, Mudanjiang Normal University, Mudanjiang 157011, P. R. China
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.
Funder
Science and Technology Department, Heilongjiang Province
the Project of Science and Technology of Mudanjiang Normal University
the Special Fund for Scientific and Technological Innovation of Graduate Students in Mudanjiang Normal University
Publisher
World Scientific Pub Co Pte Ltd
Subject
Physics and Astronomy (miscellaneous)