关于闵可夫斯基球的包装。II
On packing of Minkowski balls. II
摘要：
这是作者的ArXiv演示文稿的延续“关于Minkowski球的包装。我”。在第二节中，我们研究了Minkowski球和整环的格填充。利用Minkowski猜想关于临界行列式的证明结果，我们将球和整环划分为三类：Minkowski，Davis和Chebyshev-Cohn.得到了球和整环的最优格填充。给出了内接于球和域以及外切于球和域的六边形的最小面积。计算了Minkowski球和整环的有向系统及其临界格的有向极限。
英文摘要：
This is the continuation of the author's ArXiv presentation "On packing of Minkowski balls. I". In section 2 we investigate lattice packings of Minkowski balls and domains. By results of the proof of Minkowski conjecture about the critical determinant we devide the balls and domains on 3 classes: Minkowski, Davis and Chebyshev-Cohn. The optimal lattice packings of the balls and domains are obtained. The minimum areas of hexagons inscribed in the balls and domains and circumscribed around their are given. Direct limits of direct systems of Minkowski balls and domains and their critical lattices are calculated.
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