【摘要】 本文研究了光滑映射芽在R_N作用下的轨道切空间的问题.利用乘积积分理论的方法,获得了光滑映射芽关于右等价群的一类子群R_N的无限决定性的结果,推广了光滑映射芽是R_N-有限决定的结果.更多还原

【Abstract】 In this paper,the tangent space to the orbit of smooth map-germs under the action of R_N is investigated. By produce integral theory,the infinite determinacy of smooth map-germs relative to a subgroup R_N of right equivalent group is obtained,and the necessary and sufficient conditions for a smooth map-germ to be finitely R_N-determined are extended.更多还原