10 citations · 23 across the 6 of their papers we have counts for
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math.DG2005★ 2 cited
Weak curvature conditions and functional inequalities
John Lott, Cedric Villani
We give sufficient conditions for a measured length space (X,d,m) to admit local and global Poincare inequalities. We first introduce a condition DM on (X,d,m), defined in terms of…
math.DG2005★ 1 cited
Remark about scalar curvature and Riemannian submersions
John Lott
We consider modified scalar curvature functions for Riemannian manifolds equipped with smooth measures. Given a Riemannian submersion whose fiber transport is measure-preserving up…