https://neckpinch.com/authors/yadollah-aryanejad/New arXiv papers by Yadollah Aryanejad, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1604.04369/arxiv:1604.04369Fri, 15 Apr 2016 00:00:00 GMTYadollah Aryanejad — 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.Ricci solitonsHomogeneous spacesHarmonic maps & DeTurck trickPhysics