RIGIDITY OF BI-LIPSCHITZ EQUIVALENCE OF WEIGHTED HOMOGENEOUS FUNCTION-GERMS IN THE PLANE

Fernandes, Alexandre; Ruas, Maria

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

RIGIDITY OF BI-LIPSCHITZ EQUIVALENCE OF WEIGHTED HOMOGENEOUS FUNCTION-GERMS IN THE PLANE

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Author(s):	Fernandes, Alexandre ^[1] ; Ruas, Maria ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara - Brazil ^[2] Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Proceedings of the American Mathematical Society; v. 141, n. 4, p. 1125-1133, APR 2013.
Web of Science Citations:	0
Abstract
The main goal of this work is to show that if two weighted homogeneous (but not homogeneous) function-germs (C-2, 0) -> (C, 0) are bi-Lipschitz equivalent, in the sense that these function-germs can be included in a strongly bi-Lipschitz trivial family of weighted homogeneous function-germs, then they are analytically equivalent. (AU)

FAPESP's process:	08/54222-6 - Singularities, geometry and differential equations
Grantee:	Maria Aparecida Soares Ruas
Support Opportunities:	Research Projects - Thematic Grants

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