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同类不重叠的一维和二维基本形的射影对应为透视对应的条件
引用本文:赵云梅,朱维宗.同类不重叠的一维和二维基本形的射影对应为透视对应的条件[J].云南师范大学学报(自然科学版),2006,26(3):8-9,45.
作者姓名:赵云梅  朱维宗
作者单位:1. 红河学院数学系,云南,蒙自,661100
2. 云南师范大学数学学院,云南,昆明,650092
摘    要:射影几何中的透视对应是射影对应的一种特殊而又基本的对应,要判断射影对应是否为透视对应,在射影几何中处于十分重要的地位,本文主要用代数的方法给出了同类不重叠的一维、二维基本形的射影对应为透视对应的条件。

关 键 词:一维  二维  射影对应  透视对应
文章编号:1007-9793(2006)03-0008-02
收稿时间:2005-08-22
修稿时间:2005-08-22

The Condition for the Same One-dimensiona and Two-dimensional Fundamental Projective Correspondence to be Perspespective Correspondence
ZHAO Yun-mei,ZHU Wei-zong.The Condition for the Same One-dimensiona and Two-dimensional Fundamental Projective Correspondence to be Perspespective Correspondence[J].Journal of Yunnan Normal University (Natural Sciences Edition),2006,26(3):8-9,45.
Authors:ZHAO Yun-mei  ZHU Wei-zong
Institution:1. Department of Mathematics, Honghe University, Mengzi 661100, China; 2. Department of Mathematics, Yunnan Normal University, Kunming 650092, China
Abstract:Perspective correspondence is a kind of special and basic correspondence in projective geometry. To decide whether a projective correspondence is a perspective correspondence plays a very important role in projective geometry. In the paper is given in algebra methods the condition for the same one-dimensional and two-dimensional fundamental projective correspondence to be perspective correspondence.
Keywords:one-dimensional  two-dimensional  projective correspondence  perspective correspondence
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