The Newton filtration and d-determination of bifurcation problems related to C^0 contact equivalence 被引量：1

The Newton filtration and d-determination of bifurcation problems related to C^0 contact equivalence

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摘要 In this paper, from the Newton filtration's point of view, we construct the singular Riemannian metric and use the method in singular theory to study the bifurcation problems, and give the sufficient condition of d-determination of bifurcation problems with respect to C0 contact equivalence. The special cases of the main result in this paper are the results of Sun Weizhi and Zou Jiancheng. In this paper, from the Newton filtration's point of view, we construct the singular Riemannian metric and use the method in singular theory to study the bifurcation problems, and give the sufficient condition of d-determination of bifurcation problems with respect to C0 contact equivalence. The special cases of the main result in this paper are the results of Sun Weizhi and Zou Jiancheng.

作者 SU Dan ZHANG Dunmu

机构地区 School of Mathematics and Statistics

出处《Science China Mathematics》 SCIE 2006年第5期660-668,共9页 中国科学：数学（英文版）

关键词 map germ NEWTON filtration singular RIEMANNIAN metric C0 contact equivalence. map germ, Newton filtration, singular Riemannian metric, C0 contact equivalence.

分类号 N [自然科学总论]

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参考文献9

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4CHEN LIANG,SUN WEI-ZHI,PEI DONG-HE.Contact Finite Determinacy of Relative Map Germs[J].Communications in Mathematical Research,2010,26(1):1-6. 被引量：2

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1Changmei SHI,Donghe PEI.Weak Finite Determinacy of Relative Map-Germs[J].Chinese Annals of Mathematics,Series B,2014,35(6):991-1000. 被引量：2

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The Newton filtration and d-determination of bifurcation problems related to C^0 contact equivalence 被引量：1

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