光滑映射芽的bi-Lipschitz A-等价  

Bi-Lipschitz A-equivalence of smooth map germs

作　　者：许静波[1] 刘莉 XU Jing-bo,LIU Li(College of Mathematics,Jilin Normal University, Siping 136000, China)

机构地区：[1]吉林师范大学数学学院,吉林四平13600

出　　处：《吉林师范大学学报（自然科学版）》2018年第3期41-47,共7页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11301215;11101072);吉林省教育厅"十三"五科学计划研究项目(2016212)

摘　　要：利用分层的方法,研究C~∞映射芽之间的bi-Lipschitz A-等价问题,给出两个K-等价映射芽为bi-Lipschitz A-等价的充分条件.Using the method of stratification,the bi-Lipschitz A-equivalence relation between the smooth mapping germs was studied,and the sufficient conditions for two K-equivalent mapping germs to be biLipschitz A-equivalent were given.

关 键 词：bi-Lipschitz同胚 bi-Lipschitz平凡 K-等价 bi-Lipschitz A-等价 

分 类 号：O175.14[理学—数学]