多重映射芽在左右等价群下的通用开折  

The Versal Unfolding of Multi-mapping Germs under Left-right Equivalence Group

作　　者：梁珂萌 LIANG Kemeng(College of Mathematics and Computer Science,Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林长春130000

出　　处：《新乡学院学报》2023年第6期15-19,共5页Journal of Xinxiang University

摘　　要：利用奇点理论研究了光滑映射芽,利用多重映射芽的几何引理及代数引理导出了在左右等价群下多重映射芽的通用开折定理,并得出了一个充分必要条件及其推论。Smooth mapping germs are studied by means of singularity theory.A general folding theorem for multiple mapping germs under left and right equivalence groups is derived by geometric and algebraic lemmas of multiple mapping germs,and a necessary and sufficient condition and its corollary is obtained.

关 键 词：多重映射芽 通用开折 左右等价群 等价关系 

分 类 号：O152[理学—数学]