Please use this identifier to cite or link to this item:
doi:10.22028/D291-26270
Title: | Existence of unstable minimal surfaces of annulus type in manifolds |
Author(s): | Kim, Hwajeong |
Language: | English |
Year of Publication: | 2004 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | 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 [St1]. 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. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44848 hdl:20.500.11880/26326 http://dx.doi.org/10.22028/D291-26270 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 119 |
Date of registration: | 16-Jan-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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File | Description | Size | Format | |
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preprint_119_04.pdf | 483,54 kB | Adobe PDF | View/Open |
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