arXiv subjects

Yadollah Aryanejad

Publications and source records attributed to Yadollah Aryanejad.

2 recordsLinked to original sources

arXiv2019

Harmonicity and Minimality of vector fields on four-dimensional Lorentzian lie groups

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.

math.DG↗

arXiv2019

Some geometrical properties of the Oscillator group

We consider the oscillator group equipped with a bi-invariant Lorentzian metric, and then some geometrical properties of this group i.e. homogeneous Ricci solitons and harmonicity properties of invariant vector fields are obtained. We also determine all vector fields which are critical points for the energy functional restricted to vector fields. Vector fields defining harmonic maps are also determined, and the energy of critical points is explicitly calculated.

math.DG↗