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Harmonic maps and Kaluza-Klein metrics on spheres

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Publication:444696
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DOI10.1216/RMJ-2012-42-3-791zbMath1257.58008arXiv0809.2725MaRDI QIDQ444696

Leonard Todjihounde, Eric Loubeau, Michele Benyounes

Publication date: 16 August 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2725


zbMATH Keywords

rigidityharmonic mapstangent bundleKaluza-Klein metricsharmonic sectionsharmonicity of quadratic and Killing vector fields


Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Harmonic maps, etc. (58E20) Rigidity results (53C24)


Related Items (8)

Geodesics and natural complex magnetic trajectories on tangent bundles ⋮ Geodesic Ricci solitons on unit tangent sphere bundles ⋮ Minimal unit vector fields with respect to Riemannian natural metrics ⋮ Some calculations on Kaluza-Klein metric with respect to lifts in tangent bundle ⋮ Harmonic vector fields on space forms ⋮ Remarks about the Kaluza-Klein metric on tangent bundle ⋮ On the biharmonicity of vector fields and unit vector fields ⋮ On $g$-natural conformal vector fields on unit tangent bundles






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