Geometry of Grushin spaces

Jang-Mei Wu

doi:10.1215/ijm/1455203157

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Home > Journals > Illinois J. Math. > Volume 59 > Issue 1 > Article

Spring 2015 Geometry of Grushin spaces

Jang-Mei Wu

Illinois J. Math. 59(1): 21-41 (Spring 2015). DOI: 10.1215/ijm/1455203157

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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.