Acta mathematica scientia, Series B >
V-BILIPSCHITZ DETERMINACY OF WEIGHTED HOMOGENEOUS ANALYTIC FUNCTION-GERMS ON WEIGHTED HOMOGENEOUS REAL ANALYTIC VARIETIES
Received date: 2007-12-29
Revised date: 2008-09-19
Online published: 2010-07-20
Supported by
Supported by the National Nature Science Foundation of China (10671009, 60534080, 10871149)
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.
LIU Heng-Xing , ZHANG Dun-Mu . V-BILIPSCHITZ DETERMINACY OF WEIGHTED HOMOGENEOUS ANALYTIC FUNCTION-GERMS ON WEIGHTED HOMOGENEOUS REAL ANALYTIC VARIETIES[J]. Acta mathematica scientia, Series B, 2010 , 30(4) : 1249 -1256 . DOI: 10.1016/S0252-9602(10)60121-X
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