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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

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 type: Research Projects - Thematic Grants