Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane
Algebraic Geometry
2011-02-24 v1
Abstract
The main goal of this work is to show that if two weighted homogeneous (but not homogeneous) function-germs 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.
Keywords
Cite
@article{arxiv.1102.4657,
title = {Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane},
author = {Alexandre Fernandes and Maria Ruas},
journal= {arXiv preprint arXiv:1102.4657},
year = {2011}
}