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

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

2011-02-23

arxiv.org/abs/1102.4657v1

Mathematics

Algebraic Geometry

Scientific paper

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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