摘要
本文是作者文［１］的续篇，主要综述了近十多年来我国学者对ｎ维欧氏空间Ｅｎ中单形三角学的研究成果，其中包括单形的射影，余弦，正弦，预给二面角的单形嵌入Ｅｎ等定理和单形的三角不等式以及它们对单形某些几何不等式的应用；其次介绍了作者近年来对无限维欧氏空间Ｅ∞三角学的研究成果及其在抽象内积空间特征刻划中的应用；此外，文中还提出了某些需进一步研究的问题．
This paper reviews the advances in the study of simplex trigonometry in n dimensional Euclidean space E n in the last over ten years in China, including projective, cosine, sine, simplix structure and other theorems, trigonometrilc inequality of simplex and their applications to some geometric inquality of simplex. Then it introduces the authors achievements in the study of trigonometry in infinite dimensional Euclidean space E ∞ and its applications to the depiction of the characters for abstract inner space. Besides, it proposes some problems which need further studying.
