Title: Harmonicity of vector fields on four-dimensional Lorentzian lie groups
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 ve...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.Read More
Publication Year: 2014
Publication Date: 2014-10-28
Language: en
Type: preprint
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