基本解释：伪欧几里得空间
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In this paper, the concept of pseudo-Euclidean ring is introduced and some basic properties of pseudo-Euclidean ring are given.本文定义了伪欧氏环 ,并讨论了伪欧氏环的一些基本性质 。
The(k+1)-dimensional ruled surfaces in pseudo-Euclidean space are studied.讨论伪欧氏空间中的直纹面。
If x:M n→E m ν is an isometric immersion of a pseudo-Riemamian manifold into a pseudo-Euclidean space then the map x～=xx t (t denotes transpose) is called the quadric representation of M n.设ｘ ：Ｍｎ →Ｅｍν 是伪黎曼流形到伪欧氏空间的等距浸入，ｘ～＝ ｘｘｔ（ｔ 表示转置） 称为Ｍｎ 的二次表示。
In this thesis the ruled surfaces in pseudo-Euclidean space and Euclidean space are studied.本文研究伪欧氏空间和欧氏空间中的直纹面。
The concept of two side pseudo-Euclidean rings was introduced and some basic properties of matrices on two side pseudo-Euclidean rings were given.定义了双边伪欧氏环,并讨论了双边伪欧氏环上的矩阵的一些基本性质。
In this paper, the concept of unique decomposition pseudo-Euclidean ring is introduced.本文定义了唯一分解的伪欧氏环 R。
