Unstable minimal surfaces of annulus type in manifolds
| dc.creator | Kim, Hwajeong | |
| dc.date | 2006-03-27 | |
| dc.date | 2008-05-30 | |
| dc.date.accessioned | 2026-07-07T09:41:38Z | |
| dc.date.available | 2026-07-07T09:41:38Z | |
| dc.description | Unstable minimal surfaces are the unstable stationary points of the Dirichlet-Integral. In order to obtain unstable solutions, the method of the gradient flow together with the minimax-principle is generally used. The application of this method for minimal surfaces in the Euclidean spacce was presented in \cite{s3}. We extend this theory for obtaining unstable minimal surfaces in Riemannian manifolds. In particular, we handle minimal surfaces of annulus type, i.e. we prescribe two Jordan curves of class $C^3$ in a Riemannian manifold and prove the existence of unstable minimal surfaces of annulus type bounded by these curves. | |
| dc.description | 36pages | |
| dc.identifier | https://arxiv.org/abs/math/0603615 | |
| dc.identifier | http://arxiv.org/abs/math/0603615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161900 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 49Q05; 58E05 | |
| dc.title | Unstable minimal surfaces of annulus type in manifolds | |
| dc.type | text |