Geometry of Grushin spaces

Jang-Mei Gloria Wu

Research output: Contribution to journalArticlepeer-review

Abstract

We compare the Grushin geometry to Euclidean geometry, through quasisymmetric parametrization, bilipschitz parametrization and bilipschitz embedding, highlighting the role of the exponents and the fractal nature of the singular hyperplanes in Grushin geometry.

Original languageEnglish (US)
Pages (from-to)21-41
Number of pages21
JournalIllinois Journal of Mathematics
Volume59
Issue number1
DOIs
StatePublished - Mar 1 2015

ASJC Scopus subject areas

  • Mathematics(all)

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