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V-BILIPSCHITZ DETERMINACY OF WEIGHTED HOMOGENEOUS ANALYTIC FUNCTION-GERMS ON WEIGHTED HOMOGENEOUS REAL ANALYTIC VARIETIES |
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| Authors: | Liu Hengxing Zhang Dunmu |
| Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
| Abstract: | 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. |
| Keywords: | V-bilipschitz determinacy weighted homogeneous polynomial function germs controlled vector field weighted homogeneous control functions |
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