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IJMSI 2020, 15(1): 65-78 |
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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
URL: http://ijmsi.ir/article-1-809-en.html
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.
Keywords: Harmonic vector fields, Harmonic maps, Einstein metrics, Lie group, Pseudo-Riemannian homogeneous spaces.
Type of Study: Research paper |
Subject:
General
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