Harmonicity of vector fields on Oscillator group

We consider the oscillator group equipped with a bi-invariant Lorentzian metric. Harmonicity properties of left-invariant vector fields on this space are determined.In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Left-invariant vector fields defining harmonic maps are also classified.

کلیدواژه ها:

Oscillator group ، Harmonic vector fields ، Harmonic maps.