【摘要】 射影变换在高等几何中是十分重要的。本文主要讨论三个问题:存在着无穷多个一维射影变换在一对对应的正则点对与一个已知点变换相切;存在着唯一个射影变换在一对对应的正则点对密切于一个已知的变换;与已知点变换逼近到三阶邻域或高于三阶邻域的一维射影变换必须满足一些条件。对于逼近过程的误差也给以考虑。更多还原

【Abstract】 Projective change is very important in higher geometry. This Paper mainly discusses three Problems, the one - dimensional Projective change which is contacted with a given Point transformation at a regular Pair of corresponding Points is an infinite aggregate; there exists a unique Projective change which osculates a given Point transformation at a regular Pair of corresponding points; there should be some conditions in the one-dimensional Protective change which approximates to cubic or more than cubic field given Point transformation. Error estimation in approximation course is also taken into consideration.更多还原