Volume 15, Issue 1 (4-2020)                   IJMSI 2020, 15(1): 65-78 | Back to browse issues page

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Aryanejad Y. Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups. IJMSI 2020; 15 (1) :65-78
URL: http://ijmsi.ir/article-1-809-en.html

‎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.

Type of Study: Research paper | Subject: General

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