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20092025
most citedCharacterizations of rectifiable metric measure spaces

28 citations · 102 across the 27 of their papers we have counts for

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Showing 2015 · math.MGShow all

3 papers · 2 filters

math.MG2015

Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces

Enrico Le Donne, Sean Li, Tapio Rajala

We show that the Heisenberg group is not minimal in looking down. This answers Problem 11.15 in `Fractured fractals and broken dreams' by David and Semmes, or equivalently, Questio…

math.MG2015★ 14 cited

Differentiability and Poincaré-type inequalities in metric measure spaces

David Bate, Sean Li

We demonstrate the necessity of a Poincaré type inequality for those metric measure spaces that satisfy Cheeger's generalization of Rademacher's theorem for all Lipschitz functions…

math.MG2015★ 2 cited

BiLipschitz decomposition of Lipschitz maps between Carnot groups

Sean Li

Let be a Lipschitz map between two Carnot groups. We show that if is ball of , then there exists a subset , whose image in under has small…