Einstein and conformally flat critical metrics of the volume functional
| dc.creator | Miao, Pengzi | |
| dc.creator | Tam, Luen-Fai | |
| dc.date | 2009-01-05 | |
| dc.date.accessioned | 2026-07-07T12:24:33Z | |
| dc.date.available | 2026-07-07T12:24:33Z | |
| dc.description | Let $R$ be a constant. Let $\mathcal{M}^R_γ$ be the space of smooth metrics $g$ on a given compact manifold $Ω^n$ ($n\ge 3$) with smooth boundary $Σ$ such that $g$ has constant scalar curvature $R$ and $g|_Σ$ is a fixed metric $γ$ on $Σ$. Let $V(g)$ be the volume of $g\in\mathcal{M}^R_γ$. In this work, we classify all Einstein or conformally flat metrics which are critical points of $V(\cdot)$ in $\mathcal{M}^R_γ$. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0901.0422 | |
| dc.identifier | http://arxiv.org/abs/0901.0422 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214362 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C20; 58JXX | |
| dc.title | Einstein and conformally flat critical metrics of the volume functional | |
| dc.type | text |