Report
Maximal annuli with parallel planar boundaries in the 3-dimensional Lorentz-Minkowski space
| العنوان: | Maximal annuli with parallel planar boundaries in the 3-dimensional Lorentz-Minkowski space |
|---|---|
| المؤلفون: | Pyo, Juncheol |
| سنة النشر: | 2009 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Primary 53C42, Secondary 53C50 53A10 |
| الوصف: | We prove that maximal annuli in $\mathbb{L}^{3}$ bounded by circles, straight lines or cone points in a pair of parallel spacelike planes are part of either a Lorentzian catenoid or a Lorentzian Riemann's example. We show that under the same boundary condition, the same conclusion holds even when the maximal annuli have a planar end. Moreover, we extend Shiffman's convexity result to maximal annuli but by using Perron's method we construct a maximal annulus with a planar end where Shiffman type result fails. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0912.0064 |
| رقم الانضمام: | edsarx.0912.0064 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |