32 citations · 51 across the 3 of their papers we have counts for
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math.MG2009★ 9 cited
Compression bounds for Lipschitz maps from the Heisenberg group to
Jeff Cheeger, Bruce Kleiner, Assaf Naor
We prove a quantitative bi-Lipschitz nonembedding theorem for the Heisenberg group with its Carnot-Carathéodory metric and apply it to give a lower bound on the integrality gap of…
math.MG2008★ 10 cited
Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon Nikodym property
Jeff Cheeger, Bruce Kleiner
We prove the differentiability of Lipschitz maps X-->V, where X is a complete metric measure space satisfying a doubling condition and a Poincaré inequality, and V is a Banach spac…
math.MG2006★ 32 cited
Differentiating maps into L^1 and the geometry of BV functions
Jeff Cheeger, Bruce Kleiner
This is one of a series of papers examining the interplay between differentiation theory for Lipschitz maps, X-->V, and bi-Lipschitz nonembeddability, where X is a metric measure s…