Bi-Lipschitz contact equivalence of smooth map-germs

• Grant number: 07/01274-6
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2007
• End date: May 31, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: João Carlos Ferreira Costa
• Grantee: João Carlos Ferreira Costa
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

The goal of this work is to study properties and invariants of bi-Lipchitz contact equivalence of smooth map-germs. This equivalence relation is the Lipschitz version of contact equivalence introduced by J. Mather. Few results exist on this subject in literature. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ALVAREZ, SERGIO; BIRBRAIR, LEV; FERREIRA COSTA, JOAO CARLOS; FERNANDES, ALEXANDRE. Topological K-equivalence of analytic function-germs. Central European Journal of Mathematics, v. 8, n. 2, p. 338-345, APR 2010. (07/01274-6)

BIRBRAIR, LEV; FERREIRA COSTA, JOAO CARLOS; FERNANDES, ALEXANDRE. Finiteness theorem for topological contact equivalence of map germs. HOKKAIDO MATHEMATICAL JOURNAL, v. 38, n. 3, p. 511-517, AUG 2009. (07/01274-6)

COSTA, J. C. F.; SAIA, M. J.; SOARES JUNIOR, C. H.; GORYUNOV, V; HOUSTON, K; WIKATIQUE, R. Bi-Lipschitz G-triviality and Newton polyhedra, G = R, C, K, R-V, C-V, K-V. GROUPS, ALGEBRAS AND APPLICATIONS, v. 569, p. 2-pg., 2012-01-01. (07/01274-6)