On the higher order conformal covariant operators on the sphere
| dc.creator | Hang, Fengbo | |
| dc.date | 2006-11-28 | |
| dc.date.accessioned | 2026-07-07T07:33:28Z | |
| dc.date.available | 2026-07-07T07:33:28Z | |
| dc.description | We will show that in the conformal class of the standard metric $g_{S^n}$ on $S^n$, the scaling invariant functional $(μ_g(S^n))^{\frac{2m-n}{n}}\int_{S^n}Q_{2m,g}dμ_g$ maximizes at $g_{S^n}$ when $n$ is odd and $m=\frac{n+1}{2}$ or $\frac{n+3}{2}$. For $n$ odd and $m\geq\frac{n+5}{2}$, $g_{S^n}$ is not stable and the functional has no local maximizer. Here $Q_{2m,g}$ is the $2m$th order $Q $-curvature. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611894 | |
| dc.identifier | http://arxiv.org/abs/math/0611894 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119466 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53A30, 58J05 | |
| dc.title | On the higher order conformal covariant operators on the sphere | |
| dc.type | text |