Harmonicity of sections of sphere bundles
| dc.creator | Gonzalez-Davila, J. C. | |
| dc.creator | Cabrera, F. Martin | |
| dc.creator | Salvai, M. | |
| dc.date | 2007-11-23 | |
| dc.date.accessioned | 2026-07-07T08:44:39Z | |
| dc.date.available | 2026-07-07T08:44:39Z | |
| dc.description | We consider the energy functional on the space of sections of a sphere bundle over a Riemannian manifold (M, <,>) equipped with the Sasaki metric and we discuss the characterising condition for critical points. Likewise, we provide a useful method for computing the tension field in some particular situations. Such a method is shown to be adequate for many tensor fields defined on manifolds M equipped with a G-structure compatible with <,>. This leads to the construction of a lot of new examples of differential forms which are harmonic sections or determine a harmonic map from (M,<,>) into its sphere bundle. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0711.3703 | |
| dc.identifier | http://arxiv.org/abs/0711.3703 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142733 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20;53C10;53C15;53C25 | |
| dc.title | Harmonicity of sections of sphere bundles | |
| dc.type | text |