On the biharmonic and harmonic indices of the Hopf map
| dc.creator | Loubeau, E. | |
| dc.creator | Oniciuc, C. | |
| dc.date | 2004-02-18 | |
| dc.date.accessioned | 2026-07-07T05:05:33Z | |
| dc.date.available | 2026-07-07T05:05:33Z | |
| dc.description | Biharmonic maps are the critical points of the bienergy functional and, from this point of view, generalise harmonic maps. We consider the Hopf map $ψ:\s^3\to \s^2$ and modify it into a nonharmonic biharmonic map $ϕ:\s^3\to \s^3$. We show $ϕ$ to be unstable and estimate its biharmonic index and nullity. Resolving the spectrum of the vertical Laplacian associated to the Hopf map, we recover Urakawa's determination of its harmonic index and nullity. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402295 | |
| dc.identifier | http://arxiv.org/abs/math/0402295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70205 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58E20, 31B30 | |
| dc.title | On the biharmonic and harmonic indices of the Hopf map | |
| dc.type | text |