V-BILIPSCHITZ DETERMINACY OF WEIGHTED HOMOGENEOUS ANALYTIC FUNCTION-GERMS ON WEIGHTED HOMOGENEOUS REAL ANALYTIC VARIETIES  

作　　者：刘恒兴 张敦穆 

机构地区：[1]School of Mathematics and Statistics, Wuhan University

出　　处：《Acta Mathematica Scientia》2010年第4期1249-1256,共8页数学物理学报（B辑英文版）

基　　金：Supported by the National Nature Science Foundation of China(10671009,60534080,10871149)

摘　　要：In this article, we provide estimates for the degree of V bilipschitz determinacy of weighted homogeneous function germs defined on weighted homogeneous analytic variety V satisfying a convenient Lojasiewicz condition.The result gives an explicit order such that the geometrical structure of a weighted homogeneous polynomial function germs is preserved after higher order perturbations.In this article, we provide estimates for the degree of V bilipschitz determinacy of weighted homogeneous function germs defined on weighted homogeneous analytic variety V satisfying a convenient Lojasiewicz condition.The result gives an explicit order such that the geometrical structure of a weighted homogeneous polynomial function germs is preserved after higher order perturbations.

关 键 词：V bilipschitz determinacy weighted homogeneous polynomial function germs controlled vector field weighted homogeneous control functions 

分 类 号：O174[理学—数学]