تقرير
Two classes of slant surfaces in nearly Kahler six sphere
| العنوان: | Two classes of slant surfaces in nearly Kahler six sphere |
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| المؤلفون: | Obrenovic, K., Vukmirovic, S. |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry |
| الوصف: | In this paper we find examples of slant surfaces in the nearly Kahler six sphere. First, we characterize two-dimensional small and great spheres which are slant. Their description is given in terms of the associative 3-form in $\Im \OO .$ Later on, we classify the slant surfaces of $S^6$ which are orbits of maximal torus in $G_2.$ We show that these orbits are flat tori which are linearly full in $S^5\subset S^6$ and that their slant angle is between $\arccos \frac{1}{3}$ and $\frac{\pi}{2}.$ Among them we find one parameter family of minimal orbits. Comment: 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1009.5369 |
| رقم الأكسشن: | edsarx.1009.5369 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |