Blow-Analytic Equivalence versus contact-bi-Lipschitz Equivalence
Lev Birbrair, Alexandre Fernandes, Terence Gaffney, Vincent, Grandjean
TL;DR
This paper establishes that blow-analytic equivalence between real analytic plane function germs implies sub-analytic bi-Lipschitz contact equivalence, linking two important concepts in singularity theory.
Contribution
It proves that blow-analytic equivalence implies contact-bi-Lipschitz equivalence for real analytic plane function germs, clarifying their relationship.
Findings
Blow-analytic equivalence implies contact-bi-Lipschitz equivalence.
The result applies to real analytic plane function germs.
It bridges two concepts in singularity theory.
Abstract
Two blow-analytically equivalent real analytic plane function germs are sub-analytically bi-Lipschitz contact equivalent
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