Convexity in locally conformally flat manifolds with boundary
| dc.creator | Cavalcante, Marcos P. | |
| dc.date | 2007-11-08 | |
| dc.date.accessioned | 2026-07-07T08:41:34Z | |
| dc.date.available | 2026-07-07T08:41:34Z | |
| dc.description | Given a closed subset $\La$ of the open unit ball $B_1\subset \real^n$, $n \geq 3$, we will consider a complete Riemannian metric $g$ on $\bar{B_1} \setminus \La$ of constant scalar curvature equal to $n(n-1)$ and conformally related to the Euclidean metric. In this paper we prove that every closed Euclidean ball $\bar{B} \subset B_1\setminus \La$ is convex with respect to the metric $g$, assuming the mean curvature of the boundary $\partial B_1$ is nonnegative with respect to the inward normal. | |
| dc.description | 8 pages; to appear in Pacific Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/0711.1250 | |
| dc.identifier | http://arxiv.org/abs/0711.1250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141714 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C21, 53A30 (Primary); 52A20 (Secondary) | |
| dc.title | Convexity in locally conformally flat manifolds with boundary | |
| dc.type | text |