Research profile

Yadollah Aryanejad

Works on harmonic maps & DeTurck trick, physics and homogeneous spaces.

NP-RC-698183

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Harmonic maps & DeTurck trickPhysicsHomogeneous spacesRicci solitons

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2016

math.DGv2arXiv:1604.04369

Some geometrical properties of the Oscillator group

Yadollah 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
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