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

Published 23 Feb 2011 in math.AG | (1102.4657v1)

Abstract: The main goal of this work is to show that if two weighted homogeneous (but not homogeneous) function-germs $(\C^{2,0)\to(\C,0)$} 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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