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July, 2018 Blow-analytic equivalence versus contact bi-Lipschitz equivalence
Lev BIRBRAIR, Alexandre FERNANDES, Vincent GRANDJEAN, Terence GAFFNEY
J. Math. Soc. Japan 70(3): 989-1006 (July, 2018). DOI: 10.2969/jmsj/74237423

Abstract

The main result of this note is that two blow-analytically equivalent real analytic plane function germs are sub-analytically bi-Lipschitz contact equivalent.

Funding Statement

The first author was partially supported by CNPq-Brazil grant 300575/2010-6; The second author was partially supported by CNPq-Brazil grant 302998/2011-0; The fourth author was partially supported by PVE-CNPq Proc. 401565/2014-9.

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Lev BIRBRAIR. Alexandre FERNANDES. Vincent GRANDJEAN. Terence GAFFNEY. "Blow-analytic equivalence versus contact bi-Lipschitz equivalence." J. Math. Soc. Japan 70 (3) 989 - 1006, July, 2018. https://doi.org/10.2969/jmsj/74237423

Information

Received: 2 February 2016; Revised: 6 December 2016; Published: July, 2018
First available in Project Euclid: 12 June 2018

zbMATH: 06966970
MathSciNet: MR3830795
Digital Object Identifier: 10.2969/jmsj/74237423

Subjects:
Primary: 14B05 , 14P15 , 58K40
Secondary: 32B20 , 32S05 , 32S15

Keywords: bi-Lipschitz , blow-analytic , Blowing-up , contact equivalence , Hsiang and Pati , pizza , width

Rights: Copyright © 2018 Mathematical Society of Japan

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Vol.70 • No. 3 • July, 2018
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