تقرير
On hyperbolic cobweb manifolds
| العنوان: | On hyperbolic cobweb manifolds |
|---|---|
| المؤلفون: | Molnár, Emil, Szirmai, Jenő |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, Mathematics - General Topology, 57M07, 57M60, 52C17 |
| الوصف: | A compact hyperbolic "cobweb" manifold (hyperbolic space form) of symbol $Cw(6,6,6)$ will be constructed in Fig.1,4,5 as a representant of a presumably infinite series $Cw(2p,2p,2p)$ $(3 \le p \in \bN$ natural numbers). This is a by-product of our investigations \cite{MSz16}. In that work dense ball packings and coverings of hyperbolic space $\HYP$ have been constructed on the base of complete hyperbolic Coxeter orthoschemes $\mathcal{O}=W_{uvw}$ and its extended reflection groups $\bG$ (see diagram in Fig.~3. and picture of fundamental domain in Fig.~2). Now $u=v=w=6 (=2p)$. Thus the maximal ball contained in $Cw(6,6,6)$, moreover its minimal covering bal l (so diameter) can also be determined. The algorithmic procedure provides us with the proof of our statements. Comment: 14 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1701.06757 |
| رقم الأكسشن: | edsarx.1701.06757 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |