Some geometrical properties of Berger Spheres

Some geometrical properties of Berger Spheres

Our aim in this paper is to investigate some geometrical properties of Berger Spheres i.e. homogeneous Ricci solitons and harmonicity properties of invariant vector fields. We determine all vector fields which are critical points for the energy functional restricted to vector fields. We also see tha...

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1. Verfasser: AryaNejad, Y
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Critical point
Fields (mathematics)
Mathematics - Differential Geometry
Properties (attributes)
Solitary waves
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description Our aim in this paper is to investigate some geometrical properties of Berger Spheres i.e. homogeneous Ricci solitons and harmonicity properties of invariant vector fields. We determine all vector fields which are critical points for the energy functional restricted to vector fields. We also see that do not exist any vector fields defining harmonic map, and the energy of critical points is explicitly calculated.
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subjects Critical point
Fields (mathematics)
Mathematics - Differential Geometry
Properties (attributes)
Solitary waves
title Some geometrical properties of Berger Spheres
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