Foliations by constant mean curvature tubes
| dc.creator | Mazzeo, Rafe | |
| dc.creator | Pacard, Frank | |
| dc.date | 2003-08-05 | |
| dc.date.accessioned | 2026-07-07T05:00:09Z | |
| dc.date.available | 2026-07-07T05:00:09Z | |
| dc.description | Let $Γ$ be a nondegenerate geodesic in a compact Riemannian manifold $M$. We prove the existence of a partial foliation of a neighbourhood of $Γ$ by CMC surfaces which are small perturbations of the geodesic tubes about $Γ$. There are gaps in this foliation, which correspond to a bifurcation phenomenon. Conversely, we also prove, under certain restrictions, that the existence of a partial CMC foliation of this type about a submanifold $Γ$ of any dimension implies that $Γ$ is minimal. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0308044 | |
| dc.identifier | http://arxiv.org/abs/math/0308044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68253 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 | |
| dc.title | Foliations by constant mean curvature tubes | |
| dc.type | text |