Some geometrical properties of the Oscillator group

DOI10.22080/cjms.2020.17566.1441zbMath1474.53272arXiv1604.04369OpenAlexW3048105782MaRDI QIDQ4963714

Y. AryaNejad

Publication date: 23 February 2021

Full work available at URL: https://arxiv.org/abs/1604.04369

zbMATH Keywords

harmonic mapsoscillator groupRicci solitonsharmonic vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (2)

Harmonicity of vector fields on the oscillator groups with neutral signature ⋮ Some geometrical properties of Berger Spheres

Cites Work

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• Spacelike energy of timelike unit vector fields on a Lorentzian manifold
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• Unit vector fields on spheres, which are harmonic maps
• Relationship between volume and energy of vector fields.
• Contact metric manifolds whose characteristic vector field is a harmonic vector field
• Divergence-preserving geodesic symmetries
• Wess-Zumino-Witten model based on a nonsemisimple group
• Harmonic characteristic vector fields on contact metric three-manifolds
• ON PARALLEL FIELDS OF PARTIALLY NULL VECTOR SPACES

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