Harmonic maps and sections on spheres

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dc.creatorBenyounes, M.
dc.creatorLoubeau, E.
dc.creatorWood, C. M.
dc.date2007-03-02
dc.date.accessioned2026-07-07T07:49:54Z
dc.date.available2026-07-07T07:49:54Z
dc.descriptionThe absence of interesting harmonic sections for the Sasaki and Cheeger-Gromoll metrics has led to the consideration of alternatives, for example in the form of a two-parameter family of natural metrics shown to relax existence conditions for harmonicity. This article investigates harmonic Killing vector fields, proves their non-existence on S^2, obtains rigidity results for harmonic gradient vector fields on the two-sphere, classifies spherical quadratic gradient fields in all dimensions and determines the tension field, concluding with the discovery of a family of metrics making Hopf vector fields harmonic maps on S^{2n+1}.
dc.descriptionA detailed version is available at: http://maths2.univ-brest.fr/~loubeau/articles/harm-long.pdf
dc.identifierhttps://arxiv.org/abs/math/0703060
dc.identifierhttp://arxiv.org/abs/math/0703060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124990
dc.subjectDifferential Geometry
dc.subject58E20
dc.titleHarmonic maps and sections on spheres
dc.typetext

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