Uniqueness of Area Minimizing Surfaces for Extreme Curves
| Autor: | Baris Coskunuzer, Tolga Etgü |
|---|---|
| Přispěvatelé: | Coşkunüzer, Barış, Etgü, Tolga (ORCID 0000-0003-2464-3636 & YÖK ID 16206), College of Sciences, Department of Department of Mathematics |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Mathematics - Differential Geometry
Minimal surface General Mathematics Plateau problem Area minimizing surfaces Minimal surfaces Mean convex 3-manifolds Uniqueness 010102 general mathematics Mathematical analysis Regular polygon Boundary (topology) Geometric Topology (math.GT) Space (mathematics) 01 natural sciences Plateau's problem Mathematics - Geometric Topology Differential Geometry (math.DG) Simple (abstract algebra) 0103 physical sciences FOS: Mathematics 010307 mathematical physics 53A10 49Q05 57N10 0101 mathematics Mathematics |
| Zdroj: | Revista Matematica Iberoamericana |
| Popis: | Let M be a compact, orientable, mean convex 3-manifold with boundary. We show that the set of all simple closed curves in the boundary of M which bound unique area minimizing disks in M is dense in the space of simple closed curves in the boundary of M which are nullhomotopic in M. We also show that the set of all simple closed curves in the boundary of M which bound unique absolutely area minimizing surfaces in M is dense in the space of simple closed curves in the boundary of M which are nullhomologous in M. 14 pages, 3 figures |
| Databáze: | OpenAIRE |
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