Bi-Lipschitz Embeddability of the Grushin Plane into Euclidean Space

Published 1 Nov 2010 in math.MG | (1011.0365v1)

Abstract: Many sub-Riemannian manifolds like the Heisenberg group do not admit bi- Lipschitz embedding into any Euclidean space. In contrast, the Grushin plane admits a bi-Lipschitz embedding into some Euclidean space. This is done by extending a bi-Lipschitz embedding of the singular line, using a Whitney decomposition of its complement.

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Authors (1)

Jeehyeon Seo

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