@ARTICLE{Aryanejad, author = {Aryanejad, Y. and }, title = {Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups}, volume = {15}, number = {1}, abstract ={‎We consider four-dimensional lie groups equipped with‎ ‎left-invariant Lorentzian Einstein metrics‎, ‎and determine the harmonicity properties ‎of vector fields on these spaces‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional ‎restricted to vector fields‎. ‎We also classify vector fields defining harmonic maps‎, ‎and calculate explicitly the energy of these vector ‎fields‎. ‎Then we study the minimality of critical points for the energy functional‎. }, URL = {http://ijmsi.ir/article-1-809-en.html}, eprint = {http://ijmsi.ir/article-1-809-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {10.29252/ijmsi.15.1.65}, year = {2020} }