Matthew Romney

activity

20152023

most citedPolyhedral approximation of metric surfaces and applications to uniformization

19 citations · 30 across the 10 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.MG2015

Conformal Grushin spaces

Matthew Romney

We introduce a class of metrics on $R^{n}$ generalizing the classical Grushin plane. These are length metrics defined by the line element $d s = d_{E} (\cdot, Y)^{- β} d s_{E}$ for a…

math.MG2015★ 1 cited

Bi-Lipschitz embedding of the generalized Grushin plane in Euclidean spaces

Matthew Romney, Vyron Vellis

We show that, for all $α \geq 0$ , the generalized Grushin plane $G_{α}$ is bi-Lipschitz homeomorphic to a $2$ -dimensional quasiplane in the Euclidean space $\mathbb{R}^{[α]+2…