Rigidity of bi-Lipschitz equivalence of weighted homogeneous function-germs in the plane

2011/02/23 by Fernandes, Alexandre, Ruas, Maria · 1 citation
#14B05 #14J17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1102.4657

Abstract

The main goal of this work is to show that if two weighted homogeneous (but not homogeneous) function-germs (\C²,0)→(\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.

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